ugly TPTK in rr'ed pot

[schwza]

PokerStars No-Limit Hold'em, $4 BB (5 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

UTG ($412)
MP ($84.70)
Button ($423.40)
SB ($402)
Hero ($589.65)

Preflop: Hero is BB with A[img]/images/graemlins/spade.gif[/img], K[img]/images/graemlins/club.gif[/img].
<font color="#666666">2 folds</font>, <font color="#CC3333">Button raises to $12</font>, <font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to $40</font>, Button calls $28.

Flop: ($82) Q[img]/images/graemlins/club.gif[/img], T[img]/images/graemlins/heart.gif[/img], Q[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets $55</font>, Button calls $55.

Turn: ($192) K[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets $125</font>, <font color="#CC3333">Button raises to $312</font>,

button has $16 left. is betting the turn smart?

villain seems decent enough in a small sample.