Grabbed by Holdem Manager
NL Holdem $0.20(BB) Replayer
SB ($10.19)
BB ($7.71)
CO ($20.40)
Hero ($20.08)
Dealt to Hero K♣ T♠
fold, Hero raises to $0.40, fold, BB calls $0.20
FLOP ($0.90) 6♦ K♦ 7♣
BB checks, Hero bets $0.90, BB calls $0.90
TURN ($2.70) 6♦ K♦ 7♣ 8♦
BB checks, Hero bets $1.90, BB raises to $6.39, Hero folds
BB wins $6.18

If it was bigger stack, bet/fold turn is good. But vs this stack, I am not sure if its not too weak.
I was also considering check turn, because many draws completed. Still there is value from weaker Kx, 99-QQ, pair+draws.
But those hands could shove turn.