QTs OOP, standard turn spot

[minSim]

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HAND #1
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Villain is unknown.
When I c/c turn I seem to face so many river bets, that I wonder if I should b/f turn instead.

Poker Stars, $0.25/$0.50 NL Hold'em Cash Game, 6 Players
LeggoPoker.com - Hand History Converter

UTG: $61.50
MP: $54.15
CO: $49.25
BTN: $36.15
Hero (SB): $47.50
BB: $66.55

Pre-Flop: Q T dealt to Hero (SB)
4 folds, Hero raises to $2, BB calls $1.50

Flop: ($4) Q 5 4 (2 Players)
Hero bets $3, BB calls $3

Turn: ($10) A (2 Players)
Hero checks, BB bets $5.50, Hero calls $5.50

River: ($21) 5 (2 Players)
Hero checks, BB bets $10.50, Hero

[GrindCity3]

he has a lot of hands you already beat, a lot of draws and if you check you allow him the oppurtunity to take this pot away from you.. so bet/fold...