Fold set of Q on turn?

[keeks]

Hi all,

Live 10 handed 3/6

Tight passive player raises utg. The weakest I've seen her raise is AK. Folds around to a loose player in MP who calls. I reraise with QdQs, she caps and the mp player calls, and I call knowing I need a set.

The flop is
Ad Qh Tc 12 sb

She bets out, mp calls, I call. I'm sure that is a mistake- I should raise and fold to a three bet.

Turn- Jc
She bets, mp raises (18 sb)
I'd been watching her for any sign of a tell since the beginning and nothing has really changed. She doesn't look like she's had a set cracked nor made a straight. Totally stone faced.
I'm sure that mp has a K, so she's equally likely to have KK as AA now, though I didn't think she would bet the flop with KK and I'd fall out of my seat if she 4bet AK or TT.

I'll post the rest later.. I know the flop play is really awful, but what's done is done. What do you guys do on the turn?