KK fold turn?

Villain unknown

I'm not sure if the turn call was OK? After reviewing this hand this line looks like set (33-55), 67 or A2. I assume TT+ will do a 3-bet and I'm just ahead against a cold calling range like AJ, KJ or QJ which shouldn't raise OTT.

At the moment I'm struggling giving espacially at the turn villain credits

BTN: 32 BB
SB: 273 BB
BB: 232.5 BB
UTG: 119 BB
Hero (MP): 101.5 BB
CO: 42.5 BB

SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has K♥ K♠

fold, Hero raises to 3 BB, fold, fold, fold, BB calls 2 BB

Flop: (6.5 BB, 2 players) J♦ 3♥ 4♠
BB checks, Hero bets 3.5 BB, BB calls 3.5 BB

Turn: (13.5 BB, 2 players) 5♦
BB checks, Hero bets 7 BB, BB raises to 20.5 BB, Hero calls 13.5 BB

River: (54.5 BB, 2 players) A♣
BB bets 205.5 BB and is all-in, fold