I dont think I would have been able to fold either but I would have definitely noticed that something is up here. I am not sure how the villain played and if they normally min raised like that but I would be certain that they are not potting two streets in a row with air there. I think a lot of Kx
hands bet pot there on the flop because they are scared of the flush draw so I would call. The turn improves our hand to beat all Kx except KK (they could have but doubt it) so I would not be folding there either. I dont like raising as if we are beating the villain why would we want to raise and have them fold out worse hands? I think you need to be calling this but it just bad the way it works out. Folding seems way too tight to me unless there is some read you have on villain like they only min raise with small pairs and they rarely
bluff post flop. Tough hand but to me it looks like you did nothing wrong. Some might say to 3 bet pre but I am not a fan of that either unless you know villain folds to 3 bets often. I would just be calling a min raise there to see a flop with KQ.