Unless there is a clear chance for counterplay, losing your queen means losing the game. You won that game because your opponent was a very bad player.

With regards to the strength of the queen, there is no definite answer, as every position is different. However, as a general guideline:

• Two rooks are slightly more powerful than a queen.
• A rook and a minor piece(bishop/knight) is slightly weaker than a queen.
• Two minor pieces vs a queen often means a lost position.
• Three minor pieces are also slightly stronger than a queen

Some folks will come with a "points system", well, that's just plain wrong.

Finally, queens are a very bad piece at blocking enemy advancing pawns, so that may be a source of counterplay in "otherwise worse" positions.

NOTE Since my statement about the pointing system was received with controversy in the comments, let me elaborate a bit further (even though this is beyond the scope of the original question, it's still related and interesting):

• Any scoring system you can think of will always be inaccurate, because we cannot define a total order relation in the "set of piece tandems". Even if we could, it wouldn't work well with addition/subtraction (R+6P - N+8P is more likely a rook-side win, but R vs N+2P is more likely to be a knight-side win)
• Piece strength can vary a lot from one position to another, so, even if it were possible to define such scoring system, it would overlook a lot of exceptions and, more importantly, it would give us no criterion about when those exceptions happen.
• Finally, a "one-point advantage" grows in importance as the game gets simplified, so we don't get a good reference either about how well/badly the game is going for us (even if we only care about material)

For those reasons, I think every score-system is wrong (not even entering the discussion of which one would be right, since different people have had different opinions). But all of that does not really matter that much, even if we ignore 1 and 3, the second issue would still be there, and it's quite an important one! It you learn to think in terms of a scoring system, you will eventually have to un-learn all of that and, from my own experience, I can tell you that's really hard! The main problem is therefore that the scoring system is not useful in practice! It does not provide any help in your game and it makes progress more difficult.

@user1583209 pointed out that computers use the points system quite succesfully. Well, that's simply not the full story! Computer position evaluation has worked very differently for a long time, and even if it were the case, there is pretty much nothing to learn from computers in terms of "how to think" as a human

Unless there is a clear chance for counterplay, losing your queen means losing the game. You won that game because your opponent was a very bad player.

With regards to the strength of the queen, there is no definite answer, as every position is different. However, as a general guideline:

• Two rooks are slightly more powerful than a queen.
• A rook and a minor piece(bishop/knight) is slightly weaker than a queen.
• Two minor pieces vs a queen often means a lost position.
• Three minor pieces are also slightly stronger than a queen

Some folks will come with a "points system", well, that's just plain wrong.

Finally, queens are a very bad piece at blocking enemy advancing pawns, so that may be a source of counterplay in "otherwise worse" positions.

NOTE Since my statement about the pointing system was received with controversy in the comments, let me elaborate a bit further (even though this is beyond the scope of the original question, it's still related and interesting):

• Any scoring system you can think of will always be inaccurate, because we cannot define a total order relation in the "set of piece tandems" that actually models the "is more likely to be stronger than" relation. Even if we could, it wouldn't work well with addition/subtraction (R+6P - N+8P is more likely a rook-side win, but R vs N+2P is more likely to be a knight-side win)
• Piece strength can vary a lot from one position to another, so, even if it were possible to define such scoring system, it would overlook a lot of exceptions and, more importantly, it would give us no criterion about when those exceptions happen.
• Finally, a "one-point advantage" grows in importance as the game gets simplified, so we don't get a good reference either about how well/badly the game is going for us (even if we only care about material)

For those reasons, I think every score-system is wrong (not even entering the discussion of which one would be right, since different people have had different opinions). But all of that does not really matter that much, even if we ignore 1 and 3, the second issue would still be there, and it's quite an important one! It you learn to think in terms of a scoring system, you will eventually have to un-learn all of that and, from my own experience, I can tell you that's really hard! The main problem is therefore that the scoring system is not useful in practice! It does not provide any help in your game and it makes progress more difficult.

@user1583209 pointed out that computers use the points system quite succesfully. Well, that's simply not the full story! Computer position evaluation has worked very differently for a long time, and even if it were the case, there is pretty much nothing to learn from computers in terms of "how to think" as a human

Unless there is a clear chance for counterplay, losing your queen means losing the game. You won that game because your opponent was a very bad player.

With regards to the strength of the queen, there is no definite answer, as every position is different. However, as a general guideline:

• Two rooks are slightly more powerful than a queen.
• A rook and a minor piece(bishop/knight) is slightly weaker than a queen.
• Two minor pieces vs a queen often means a lost position.
• Three minor pieces are also slightly stronger than a queen

Some folks will come with a "points system", well, that's just plain wrong.

Finally, queens are a very bad piece at blocking enemy advancing pawns, so that may be a source of counterplay in "otherwise worse" positions

Unless there is a clear chance for counterplay, losing your queen means losing the game. You won that game because your opponent was a very bad player.

With regards to the strength of the queen, there is no definite answer, as every position is different. However, as a general guideline:

• Two rooks are slightly more powerful than a queen.
• A rook and a minor piece(bishop/knight) is slightly weaker than a queen.
• Two minor pieces vs a queen often means a lost position.
• Three minor pieces are also slightly stronger than a queen

Some folks will come with a "points system", well, that's just plain wrong.

Finally, queens are a very bad piece at blocking enemy advancing pawns, so that may be a source of counterplay in "otherwise worse" positions.

NOTE Since my statement about the pointing system was received with controversy in the comments, let me elaborate a bit further (even though this is beyond the scope of the original question, it's still related and interesting):

• Any scoring system you can think of will always be inaccurate, because we cannot define a total order relation in the "set of piece tandems". Even if we could, it wouldn't work well with addition/subtraction (R+6P - N+8P is more likely a rook-side win, but R vs N+2P is more likely to be a knight-side win)
• Piece strength can vary a lot from one position to another, so, even if it were possible to define such scoring system, it would overlook a lot of exceptions and, more importantly, it would give us no criterion about when those exceptions happen.
• Finally, a "one-point advantage" grows in importance as the game gets simplified, so we don't get a good reference either about how well/badly the game is going for us (even if we only care about material)

For those reasons, I think every score-system is wrong (not even entering the discussion of which one would be right, since different people have had different opinions). But all of that does not really matter that much, even if we ignore 1 and 3, the second issue would still be there, and it's quite an important one! It you learn to think in terms of a scoring system, you will eventually have to un-learn all of that and, from my own experience, I can tell you that's really hard! The main problem is therefore that the scoring system is not useful in practice! It does not provide any help in your game and it makes progress more difficult.

@user1583209 pointed out that computers use the points system quite succesfully. Well, that's simply not the full story! Computer position evaluation has worked very differently for a long time, and even if it were the case, there is pretty much nothing to learn from computers in terms of "how to think" as a human