QQ overpair, 3-flush made on turn - How did I play it?

[n4rf]

Full Tilt No-Limit Hold'em, $0.10 BB (5 handed) Full Tilt Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

Button ($16.30)
SB ($4)
BB ($12.80)
UTG ($2.05)
Hero ($9.90)

Preflop: Hero is MP with Q[img]/images/graemlins/diamond.gif[/img], Q[img]/images/graemlins/spade.gif[/img]. UTG posts a blind of $0.10.
<font color="#CC3333">Hero raises to $0.45</font>, Button calls $0.40, <font color="#666666">2 folds</font>.

Flop: ($1) 3[img]/images/graemlins/heart.gif[/img], T[img]/images/graemlins/club.gif[/img], 4[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
<font color="#CC3333">Hero bets $0.8</font>, Button calls $0.80.

Turn: ($2.60) 5[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
Hero checks, <font color="#CC3333">Button bets $1.6</font>, Hero calls $1.60.

River: ($5.80) J[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(3 players)</font>
Hero checks, <font color="#CC3333">Button bets $3.9</font>, Hero calls $3.90.

Final Pot: $13.60

I Check the turn for pot control, but I do not put him on a flush draw. I only have 20 hands on the guy, playing 20/10, which means nothing. I assumed he thought I was cbetting with air, where I looked really weak on the turn, and on the river.