AJ 3-bet from blinds, oh no ive hit the Jack

[Beanos]

Full Tilt Poker
No Limit Holdem Ring game
Blinds: $0.50/$1
6 players
Converter

Pre-flop: (6 players) Hero is BB with J[img]/images/graemlins/club.gif[/img] A[img]/images/graemlins/diamond.gif[/img]
3 folds, <font color="#cc0000">Button raises to $3.5</font>, SB folds, <font color="#cc0000">Hero raises to $13</font>, Button calls.

Flop: 9[img]/images/graemlins/spade.gif[/img] 3[img]/images/graemlins/heart.gif[/img] 9[img]/images/graemlins/club.gif[/img] ($26.5, 2 players)
<font color="#cc0000">Hero bets $16</font>, Button calls.

Turn: J[img]/images/graemlins/heart.gif[/img] ($58.5, 2 players)
Hero checks, <font color="#cc0000">Button bets $35</font>, Hero?

Villain is 20/11/1.3. Hero TAG.

At the time i thought QQ was likely in his range and medium pairs, even JJ (not likely). I think he would 4-bet AA/KK. Not sure whether he bets those other medium pairs on the turn or whether he'd have floated Jx on the flop.

Villain has 36 left, Hero covers.

Do you hate anything else about the hand?