IMO, Your pre-flop raise was fine, put in a solid bet on this flop, about half the pot. Oftentimes this will win the pot right away. If you get re-raised or villain calls and a scare card comes on the turn (perhaps aonther Q) you will have a decision to make. There are so few hands that are ahead of you on this flop and no draws out there. Villain might have a monster, but more often than not you are ahead here.

Carl