Holdem No Limit - $0.5 BB

CO ($88.62)
Button ($95.17) [Hero]
SB ($24.62)
BB ($50)
UTG ($34.78)
MP ($58.58)

Hero is Button with K, T
Preflop: (5 players, $0.75)
2 folds, Hero calls $0.50 and raises $1.50, SB folds, BB calls $1.50

Flop: K, K, J (2 players, $4.25)
BB checks, Hero bets $3.25, BB calls $3.25

Turn: Q (2 players, $10.75)
BB checks, Hero ???

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Villian is unknown.

What's your move here on the turn, and why?