UB $10NL - AA in SB vs new player

[johnnydrama]

No reads since this is the first hand Villian played.

My bet on end was defensive but given the pot size was it effective?

BB is at seat 0 with $12.51.
UTG is at seat 1 with $3.40.
UTG+1 is at seat 2 with $6.66.
MP is at seat 4 with $5.16.
MP+1 is at seat 5 with $5.20.
LP is at seat 6 with $28.07.
CO is at seat 7 with $8.04.
Button is at seat 8 with $1.51.
Hero is at seat 9 with $13.61.
The button is at seat 8.

Hero posts the small blind of $.05.
BB posts the big blind of $.10.
Villian posts out of turn for $.10.

Hero: A [img]/images/graemlins/diamond.gif[/img] A [img]/images/graemlins/heart.gif[/img]

Pre-flop:

UTG folds. UTG+1 folds. Villian
raises to $.20. MP folds. MP+1
folds. LP calls. CO folds. Button
folds. Hero re-raises to $.85. BB
folds. Villian calls. LP folds.

Flop (board: 8 [img]/images/graemlins/diamond.gif[/img] K [img]/images/graemlins/diamond.gif[/img] 2 [img]/images/graemlins/spade.gif[/img]): Pot =$2.00

Hero bets $1. Villian calls.

Turn (board: 8 [img]/images/graemlins/diamond.gif[/img] K [img]/images/graemlins/diamond.gif[/img] 2 [img]/images/graemlins/spade.gif[/img] Q [img]/images/graemlins/heart.gif[/img]): Pot =$4

Hero bets $2. Villian raises to $4.
Hero calls.

River (board: 8 [img]/images/graemlins/diamond.gif[/img] K [img]/images/graemlins/diamond.gif[/img] 2 [img]/images/graemlins/spade.gif[/img] Q [img]/images/graemlins/heart.gif[/img] 7 [img]/images/graemlins/heart.gif[/img]): Pot =$12

Hero bets $2. Villian goes all-in for $4.15.

Hero ???