Villain is 35/2

I think I'm beat here a majority of the time but does the flush draw make it worth a shove?

PokerStars No-Limit Hold'em, $0.25 BB (5 handed) Poker-Stars Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

UTG ($24.50)
MP ($15.65)
Button ($36.75)
SB ($24.75)
Hero ($38.50)

Preflop: Hero is BB with A, K.
UTG calls $0.25, 2 folds, SB completes, Hero raises to $1.5, UTG calls $1.25, SB folds.

Flop: ($3.25) A, J, 9 (2 players)
Hero bets $2, UTG calls $2.

Turn: ($7.25) 5 (2 players)
Hero bets $4.5, UTG raises to $12,