KK with relevant suit on monotone 345 flop

[SEABEAST]

Villain is unknown, obviously if I don't have the Kh I can fold this fairly easily, but what should I do here? If I call, what's my play on the turn if he bets the pot on an offsuit 4? Thanks.

Party Poker No-Limit Hold'em, $ BB (5 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

BB ($192.15)
UTG ($253.25)
MP ($199)
Hero ($215.10)
SB ($459.40)

Preflop: Hero is Button with K, K. SB posts a blind of $1.
UTG calls $2, 1 fold, Hero raises to $10, 2 folds, UTG calls $8.

Flop: ($23) 4, 5, 3 (2 players)
UTG checks, Hero bets $15, UTG raises to $45.

[ArturiusX]

Call and see what the turn brings. Use your position.

[SEABEAST]

Ok, what about when you call, turn brings an offsuit 4, and he bets the pot?

[younghov17]

id call flop and usually be willing to get it in on the turn. you see 77-qq enough here to more than make up for the times he has a set/flopped flush/aa

[mbburch]

Since he potted the turn we can probably rule out a set (which is now a boat), meaning Villian has

a). flopped flush
b). smaller pair with heart draw
c). Axo with Ah

You've got 11 outs against a flopped flush and are way ahead of the rest of his range. This seems like an easy push to me.

What are Villian's stats?

[younghov17]

mb are u suggesting pushing flop or turn, at this point theres not rly any cards that hurt besides 2 so id def call the flop to get more out of him on turn. but yeah i usually get it all in on turn