NL10 Tough River spot w/ TPTK

[eddieP]

So I was really active at the table at this point in my session and I was pretty sure the players were sick of getting raised constantly. Everyone folds to the button and I raise it up.

I am supposed to make this laydown? Or am I just supposed to call?

Full Tilt Poker - No Limit Hold'em Cash Game - $0.05/$0.10 Blinds - 5 Players - (LegoPoker HH Converter)

SB: $14.70
BB: $10.00
UTG: $14.45
CO: $8.20
Hero (BTN): $11.10

Preflop: Hero is dealt K[img]/images/graemlins/diamond.gif[/img] A[img]/images/graemlins/heart.gif[/img] (5 Players)
2 folds, <font color="red">Hero raises to $0.35</font>, SB folds, BB calls $0.25

Flop: ($0.75) 6[img]/images/graemlins/spade.gif[/img] 3[img]/images/graemlins/heart.gif[/img] A[img]/images/graemlins/club.gif[/img] (2 Players)
BB checks, <font color="red">Hero bets $0.75</font>, BB calls $0.75

Turn: ($2.25) 5[img]/images/graemlins/spade.gif[/img] (2 Players)
BB checks, <font color="red">Hero bets $1.50</font>, BB calls $1.50

River: ($5.25) T[img]/images/graemlins/heart.gif[/img] (2 Players)
<font color="red">BB bets $3.70</font>, <font color="red">Hero raises all-in to $8.50</font>, BB calls all-in for $3.70
Uncalled bet of $1.10 returned to Hero

Pot Size: $20.05 ($1 Rake)

BB had A[img]/images/graemlins/diamond.gif[/img] T[img]/images/graemlins/diamond.gif[/img] (two pair, Aces and Tens) and WON ( $9.05)
Hero had K[img]/images/graemlins/diamond.gif[/img] A[img]/images/graemlins/heart.gif[/img] ([Kd Ah] a pair of Aces) and LOST (-$10.00)

I know my push was stupid but I'm horrible at poker. This spot was so tough for me.