Two Pair facing all in on river

[AshleyC]

Villan is 37/11 over just 45 hands.
I'd been playing pretty aggressively and so decided not to make a continuation bet this time as villan had quite a small stack and I didn't want to play a big-ish pot with top pair-poor kicker. I understand that betting the flop here is usually the standard but I wanted to vary the play this time.

Villan has $18.65 to start the hand, I cover.

Full Tilt Poker
No Limit Holdem Ring game
Blinds: $0.25/$0.50
5 players
Converter

Pre-flop: (5 players) Hero is Button with T [img]/images/graemlins/diamond.gif[/img]; K [img]/images/graemlins/spade.gif[/img];
2 folds, Hero raises to $2, SB calls, BB folds.


Flop: 7 [img]/images/graemlins/heart.gif[/img]; K [img]/images/graemlins/diamond.gif[/img]; 9 [img]/images/graemlins/club.gif[/img]; ($4.5, 2 players)
SB checks, Hero checks.


Turn: T [img]/images/graemlins/heart.gif[/img]; ($4.5, 2 players)
SB checks, Hero bets $4, SB calls.


River: 6 [img]/images/graemlins/club.gif[/img]; ($12.5, 2 players)
SB is all-in $12.65, Hero ?


Results:
Final pot: $37.8