I dont know what the villain has, but it looks to me like he has you beat given the action. However given his high turn aggression, maybe he is semi-bluffin with a flushdraw.

Theres a chance you could be drawing to 2 outs and theres a chance you still have the best hand but there could be many cards in the deck that kill you on the river. No matter what decision you choose in this spot it will be difficult and debatable, but the truth is you shouldve never been in this difficult situation to begin with!!

When you bet that flop and the villain raises, you should realize that the intrinsic value of your hand just dropped significantly, yet you chose to 3 bet out of postion and put more money in this pot. In this situation, youre best move IMO is usually to just call the flop bet and then check and call all the way down unless you improve. You should call the flop becuz your hand isnt strong enough to raise since you could be drawing to 2 outs, but you cant fold since the villain could have a lower pair or a draw and hes raising the flop hoping you have two high cards. Notice how much easier it is to play this hand if you just call the flop raise and check and call down. Notice how there is a 0% chance you will ever get outplayed off the best hand with this line, and when you are trailing this line minimizes your loss, and when you are ahead you are still inducing your opponent to bluff all the way down.