If you blunder your queen, do you keep playing or resign?


I look for any hope at all first. Traps, swindles, clever tactics, or fortresses. If there is no hope I will resign against a good player. If I just blundered against a bad player I might keep going to see if they screw up.
Depends on the compensation, position, material on the board, time situation etc.
During the weekend I had a game where I was in a really good position, the only move was to trade queens and i would have a good path to a win, I had a mental slip and clicked on taking the rook and resigned immediately because I also went from a good to a neutral position in one move.
The only good move I did was to not start a game right away because it was the type of blunder that makes you play bad afterwards.

Now seriously, I once witnessed an OTB 90+30 game of one of my teammates. Both players were above 1600 FIDE. Then he ate a skewer and lost his queen for a bishop. I would have resigned, but he kept playing. Many moves later he forked the royal couple with his knight. Being a piece up, he managed to win the ugliest game I've ever seen. Some people just keep playing, even best than before, when the odds are against them.
It's often possible to play on - at least for a bit - with two pieces for a queen. Rook for a queen, much less so.
Depends on the compensation and the time remaining. If I get a rook in exchange, I usually continue at least for a while. If I otherwise have a better position, I also continue for a while. But if my position is not better and there is enough time on the clock (and the opponent is of similar strength), I resign. Though sometimes I continue just for the sake of getting real life practice in defending.

It depends.
I'm more likely to keep playing if:
- My opponent is low rated
- My opponent is low on time
- The position is complex
- I have a specific trap/swindle in mind
- There are some stalemate ideas
- It's an important game that I don't want to lose

i would say under 1500 please don't resign( unless forced mate or something ) ,there is every chance your opponent will stalemate you never know

As others have said, it depends. I won a tournament game where, after blundering my queen, my opponent got careless and failed to notice the back row mate and lost two moves later. Against a good player, I probably wouldn't embarrass myself further.

Well, it depend on the situation. But normally please don't. Your opponent might plunder their own queen, you'll never know.