I think the other guy was probably justified calling your all in as you only bet 1 BB preflop and he had top pair 2nd kicker, his PFR was huge for KT so i guess he was trying to buy the pot, the only thing you were worrying about post flop was KK or AA but judging by his bet of 240 with KT i think he'd have gone all in or slowplayed those two hands.

I think i'd bet harder with my QQ pre flop otherwise you're likely to have a bunch of callers and any A or K on the flop has ruined your day, fortunately he did the big raise for you and the flop was kind.