Straight runs into tough decision

[iheartponeez]

No stats on Villain:

PokerStars No-Limit Hold'em, $0.25 BB (5 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

BB ($23.85)
UTG ($5.25)
MP ($35.90)
Hero ($28.15)
SB :#A500AF(Villain)/ ($6.45)

Preflop: Hero is Button with 6[img]/images/graemlins/diamond.gif[/img], 7[img]/images/graemlins/diamond.gif[/img].
<font color="#666666">1 fold</font>, <font color="#CC3333">MP raises to $1</font>, Hero calls $1, SB :#A500AF(Villain)/ calls $0.90, <font color="#666666">1 fold</font>.

Flop: ($3.25) 3[img]/images/graemlins/club.gif[/img], T[img]/images/graemlins/heart.gif[/img], 8[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
Villain checks, MP checks, Hero checks.

Turn: ($3.25) 9[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
<font color="#CC3333">Villain bets $0.5</font>, MP folds, <font color="#CC3333">Hero raises to $2.5</font>, Villain calls $2.

River: ($8.25) Q[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
Villain checks, <font color="#CC3333">Hero bets $3</font>, Villain calls $2.95 (All-In).

Final Pot: $14.15

Should I have simply shoved the turn?