$27 turbo - KK played too fast?

PokerStars No-Limit Hold'em Tourney, Big Blind is t20 (9 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

SB (t1340)
BB (t1580)
Hero (t1470)
UTG+1 (t1510)
MP1 (t1410)
MP2 (t1740)
MP3 (t1520)
CO (t1450)
Button (t1480)

Preflop: Hero is UTG with K, K.
Hero raises to t80, 2 folds, MP2 calls t80, 5 folds.

Flop: (t190) 6, T, K (2 players)
Hero bets t90, MP2 raises to t180, Hero raises to t1390...

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From what I've seen of the player from previous games, he was a single tabler who was relatively tight both preflop and postflop.

What would be your move after the minraise? Is the push a bad line?

I would raise the 180 to around 500 and get the rest in on the turn.

I think I would just call here and check the turn, I know it may not be the best play but its probably what i would do in this situation given your read. He probably has a king (since he raised you) so Im not afraid of anything the turn might bring. By checking hell think your weak so hell bet again and then ill raise him, maybe even push to make it look like a steal. The real reason i wouldnt raise this flop is because im not afraid of anything, maybe only AQ/AJ (QJ seems unlikely given your read)which means hell be drawing to 4 outs whih im not afraid of really.

I re-raise to 400 and try and tempt him to be the one who moves AI. I think you are presenting him with a chance to get away for just 260 here.