3 handed tough decision

Villain is a good regular. I didn't know if I should push or fold on the turn. I actually thought he was very strong when he limped. I thought about shoving pre flop but, I was worried about my instinct that he had a huge hand. Guess I should have gone with my gut. Any ideas here?

Full Tilt Poker $2 + $0.25 No Limit Hold'em Tournament - t250/t500 Blinds - 3 players

Hero (BB): t5110 10.22 BBs
BTN: t3180 6.36 BBs
SB: t5210 10.42 BBs

Pre Flop: (t750) Hero is BB with 9 Q
1 fold, SB calls t250, Hero checks

Flop: (t1000) Q K T (2 players)
SB bets t750, Hero calls t750

Turn: (t2500) 6 (2 players)
SB bets t1750, Hero raises to t3860 all in, SB calls t2110

River: (t10220) T (2 players - 1 is all in)

Final Pot: t10220

Hero shows 9 Q (two pair, Queens and Tens)
SB shows A A (two pair, Aces and Tens)
SB wins t10220