First off, I disagree with limping with AQ. The problem with limping with that hand is that you let in a lot of weird 2-pair and straight hands that can beat you, and it's hard to read that if you flop an ace. Better to just raise pre and eliminate a lot of hands from those who choose to call you.
I am not understanding here. If she is aggro and will shove with a draw, how can you differentiate that from a hand that beats you, such as 2-pair? Were you considering folding the flop if she shoved on you? Also, would she have folded to a check-raise if she had a weak ace, such as A6?1> Should I have checked raised her all in on the flop? She is a big bettor and would have bet 2K into a 1500 pot on the flop. If I only check raise her to 5k she would have 4 bet me all in I am sure of it having played with her before. If I check raise her all in most likely she would have folded. But she limped and could of had 2 pair that's why I flat called.
Yes, if you can safely put someone on a flush draw or another hand substantially behind yours at the moment, it is smart to shove if you think they will call you.2> When she raised me on the flop should I have went snap all in? Then there would have been 19,700 in the pot and cost her 11,800 more to call and she would be getting 1.7 to 1 on a flush draw. Old people love to chase the flush. Also she would have 10K left even if she loses.
Sounds like she wouldn't have folded, anyway.3> Should I have acted first on the turn and went all in knowing most likely if I check and she goes all in I would call anyway? It would be the same odds as option 2, there would have been 19,700 in the pot and cost her 11,800 more to call and she would be getting 1.7 to 1 on a flush draw, but I would have been the one shoving and she would be put to a test and not me.
I would have either check-raised the flop or check-raise-shoved (or check-call-shove) the turn.