nl25, JJ vs a shorstack donk shove

[seat_empty]

Villain's first hand at the table (notice he posted oop, checked and then overcalled). I never know what to do against shorties like this. I feel like he'd shove any pocket pair and maybe some other junk, but i never really know. how often is this anything other than Qx?

PokerStars No-Limit Hold'em, $0.25 BB (6 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

BB ($9.35)
UTG ($9)
MP ($27.95)
CO ($32.30)
Hero ($32.25)
SB ($7.40)

Preflop: Hero is Button with J[img]/images/graemlins/club.gif[/img], J[img]/images/graemlins/diamond.gif[/img]. UTG posts a blind of $0.25.
UTG (poster) checks, <font color="#CC3333">MP raises to $1</font>, <font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to $3.5</font>, <font color="#666666">2 folds</font>, UTG calls $3.25, MP folds.

Flop: ($8.35) Q[img]/images/graemlins/heart.gif[/img], 7[img]/images/graemlins/spade.gif[/img], 6[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">UTG bets $5.5 (All-In)</font>, Hero ???