Bovada Zone, $0.05 BB (6 handed) -
Hero (UTG) ($5.23)
MP ($8.61)
CO ($4.53)
Button ($4.90)
SB ($5.99)
BB ($4.60)

Preflop: Hero is UTG with Q, K
Hero raises $0.20, 1 fold, CO calls $0.20, 2 folds, BB calls $0.15

Flop: ($0.62) J, 3, 6 (3 players)
BB checks, Hero bets $0.45, 1 fold, BB calls $0.45

Turn: ($1.52) Q (2 players)
BB checks, Hero bets $1.10, BB raises $3.95 (All-In), Hero calls $2.85

River: ($9.42) 4 (2 players, 1 all-in)

Total pot: $9.42

should I be checking back this turn? or bet-folding? or fine as played? its a tricky spot for me as it doesn't come up often and I don't have specific reads on villain.