Had just over two orbits at table when I ran into this hand against an unknown. Villain is in BB and appears to be 60/0/1.4 over 25 hands. I was convinced he had Qx and I was going to hit the turn hard, but his lead with the flush draw completing threw me. Can we/should we play back at this in the face of turn aggression and deep stack? If so, how?

Full Tilt No-Limit Hold'em, $0.10 BB

CO ($0.10)
Button ($6.65)
SB ($7.65)
BB Villain ($15.45)
UTG($3.30)
MP1 ($5.85)
MP2 ($9.85)
Hero ($9.90)

Hero is MP3 with
SB posts a blind of $0.05, BB Villain posts a blind of $0.10.
3 folds, Hero raises to $0.40, CO calls $0.10 (All-In), 2 folds, Villain calls $0.30.

Flop: ($0.95)
(3 players, 1 all-in)
Villain checks, Hero bets $0.90, Villain calls $0.90.

Turn: ($2.75)
(3 players, 1 all-in)
Villain bets $1.60, Hero ???


[edited because I haven't woken up yet]