Pre-flop, flatting is fine here with AQdd, as this is a decent hand to play a multi-way flop with.
This spot really sucks, plus you have made it even more difficult on yourself by not betting the flop. It seems unlikely she would have checked a strong hand on the flop given she was second last to act.
You could be chopping against AQ, or losing against QQ, however given your blocker its more likely villain has KT here....
As played, its really read dependent, on a positive note you have not invested too much into this hand, there is no shame in folding