AA - faced with an all in on turn

[HitmanHoldem]

Just the background, nothing is really known about the players since this was about 10 minutes or so into the game.

FullTiltPoker Game #344920084: Table Camden Rose
$0.50/$1 - No Limit Hold'em


Seat 6: VILLAIN ($100)
Seat 7: HERO ($103.55)

VILLAIN posts $1
The button is in seat #7

*** HOLE CARDS ***

Dealt to HERO [A[img]/images/graemlins/spade.gif[/img] A[img]/images/graemlins/diamond.gif[/img]]

UTG folds
Folds to VILLAIN
VILLAIN raises to $3
HERO raises to $7
SB folds
BB folds
VILLAIN calls $4

*** FLOP *** [3[img]/images/graemlins/club.gif[/img] T[img]/images/graemlins/club.gif[/img] 7[img]/images/graemlins/diamond.gif[/img]]
VILLAIN checks
HERO bets $15.50
VILLAIN calls $15.50

*** TURN *** [3[img]/images/graemlins/club.gif[/img] T[img]/images/graemlins/club.gif[/img] 7[img]/images/graemlins/diamond.gif[/img]] [9[img]/images/graemlins/heart.gif[/img]]
VILLAIN bets $77.50, and is all in

So what do you do here? And along with that, what mistakes have I made during the course of play so far? (results in white below)

<font color="white"> HERO calls $77.50
VILLAIN shows [9s Td]
HERO shows [As Ad]

*** RIVER *** [3c Tc 7d 9h] [Ts]
VILLAIN shows a full house, Tens full of Nines
HERO shows two pair, Aces and Tens
VILAIN wins the pot ($198.50) with a full house, Tens full of Nines </font>