I think I played this Right.

[T. Azimuth Schwitters]

I like that you flat-called to get value out of the hand pf; but if you're going to face more than one opponent, don't be surprised when AA is outdrawn.

She was probably right to call your flop bet with an overpair, especially if she isn't good at putting you on a specific hand. In fact, her biggest mistake on the flop was probably not coming over the top of you! She should have taken advantage of the raggy flop by trying to pick up the pot right there. Instead her passive play encouraged your continued betting, and she lucked out. These things happen.

Aside from not raising pre-flop, which isn't necessarily a bad move, I'd say you played it perfectly.