KK. 4-bet preflop. A high flop,what to do?

[Cocopops_X]

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Ok I checked after as I didn't see any hands calling me that I'd beat. On turn villain shoved and I was totally lost as I knew he might do this with QQ(/JJ?). Should I call turn?

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This is why i do not agree with your check on the flop. By checking the flop you are showing real weakness and his only move is to push on the turn no matter what it is. However the way the hand has been played i think a call is needed after his push. what was the outcome??