He flat called your 4-bet OOP with QQ? I don't like that.
We could probably rule out KK and AA because he flat called preflop, and 88/33 seems unlikely. Flat calling a 4-bet and shoving the flop is either AQ or QQ everytime.
So unless you knew him well enough to decide which it was shoving, you're getting more than 2:1 on your money for a 50/50 hand. That's how I'd view it anyway.
Don't be scared of an Ace on the board when you have KK either, try to represent it first, and fold to any further aggression.