[PDosterM]

Actually, betting the turn (as you did) is better than checking. What you are looking for is a free showdown on the river as AQ can win in this situation.

If you check the turn and she bets the river, do you now call? That’s a perfect time for her to bluff, so a call is defensible. If you check the turn and call the river it costs the same as if you bet the turn and check the river, but if you bet the turn (intending to check the river), you give her the opportunity to fold on the turn. Also if you bet the turn and she bets the river, it’s now much easier to correctly fold. (As happened in your example)

So your play was correct; it just turned out you were unlucky to find her with a hand that almost certainly beats AQ.