You need to learn to deal with it to progress. To defend against it, don't leave any pieces, pawns or checks hanging. Pay particular attention to your b and g pawn. To exploit it, use threats on the Queen to develop your pieces. Also, look to attack your opponents c pawn with a Knight to create a fork on the King and Rook. This is usually enough to cause the Queen to retreat after loosing out on development. After 10 moves you should be in a strong position and the threats of your opponent's early Queen should have been contained.
What's your favourite way to punish people who send their queen at you early?
@1
"in my practice games played for fun, I now just sign out and start over" ++ Do not do that.
"it is usually over right quick, and more time is wasted, and I don't want to deal with it"
++ It is not as easy as you say, especially at lower levels and/or fast time controls.
Objectively most gambits are less sound than bringing the queen out prematurely.
https://www.chessgames.com/perl/chessgame?gid=1971485

"It is not as easy as you say..."
I never said that. I said I am tired of it when playing for practice and/or fun, meaning, unrated games of no import.
@7
Bringing out the queen early is often a way to punish a premature bishop move.
1 d4 Nf6/d5 2 Bf4 c5 intending ...Qb6
1 e4 c5 2 Nf3 d6 3 d4 cxd4 4 Nxd4 Nf6 5 Nc3 a6 6 Bg5 e6 7 f4 Qb6
1 e4 e6 2 d4 d5 3 Nc3 Bb4 4 e5 c5 5 a3 Bxc3+ 6 bxc3 Ne7 7 Qg4
ITT we discuss your favourite ways to punish players who roll their queen out on you straightaway. TBH this sort of thing really makes me tired, and in my practice games played for fun, I now just sign out and start over. Because when I don't, it is usually over right quick, and more time is wasted, and I don't want to deal with it (we have Nelson-bot for that). Example (game isn't loading but I was playing black):
https://www.chess.com/game/bb66dd39-69ae-11ed-b26f-ac5f7001000f