lets review the not suited situation. So you have AQ.
She sat in with a short stack and was playing tight for a while. Usually a goal of players like that - to find a perfect moment to go all in and to double up. And your goal is to catch them with better hand and to avoid getting into trap with marginal hand :)
Pre-flop raise is always reasonable with that hand. That will help to eliminate trash hands. After the flop - I would play this hand as a marginal hand (carefully). This is a cash game, not tournament. Big pots are usually being won with 2 pairs or higher.
Consider making small continuation bet. No more than 35% and not less than your previous bet. With $26 in the pot - $12-$15 is ok.
Good sign for you if she folds or just calls. Bet 18-20 on the turn and the same on the river if she keeps calling. If she has marginal hand - she will less likely to raise you, and small bet will eliminate bluff possibility. Your goal is is to win the slightly elevated pot with a best hand on the river. And you most probably will have the best hand on the river if she just calls, otherwise she will reraise you before the river.
Small bet will protect you from her bigger bet in case if you check. Called "protective bet." Small bet will allow you to keep the pot small and controllable.
Think of the boxers jab. Small punches to keep the opponent disballanced, while avoiding opponents big swings and looking for a moment to finish him at his first mistake.
So if she just calls that's good for you. Push her with small bets, do not reraise, do not go crazy.
If she suddenly reraises all in or bets big (>75% of the pot) on a straight danger - probably it may make sense to fold and to study her range better, looking at her next hands. But use your read and follow your instincts to make this decision :) Even if there is a chance that she bluffs - its pretty small, since its a cash game.