NL10, flopped top two pair

[Nichlemn]

PokerStars No-Limit Hold'em, $0.10 BB (8 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

Hero ($10.35)
CO ($9.85)
Button ($6.45)
SB ($1.80)
BB ($9.65)
UTG ($17.70)
UTG+1 ($18.35)
MP1 ($18.55)

Preflop: Hero is MP2 with T[img]/images/graemlins/spade.gif[/img], J[img]/images/graemlins/spade.gif[/img].
<font color="#666666">3 folds</font>, Hero calls $0.10, <font color="#666666">1 fold</font>, Button calls $0.10, SB completes, BB checks.

Flop: ($0.40) J[img]/images/graemlins/heart.gif[/img], 8[img]/images/graemlins/spade.gif[/img], T[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(4 players)</font>
SB checks, BB checks, <font color="#CC3333">Hero bets $0.35</font>, Button folds, SB folds, BB calls $0.35.

Turn: ($1.10) A[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, <font color="#CC3333">Hero bets $0.8</font>, <font color="#CC3333">BB raises to $3.7</font>, Hero ???


Unfortunately I don't have PT, so I can't help much there. Scouring through the hand history, the most noticeable thing I can find about the Villain is talking about his hand a few times. There is one showdown with this, in which he was telling the truth. In this hand, the Villain says "fold" while I am tanking.

Other than that, the Villain seems relatively tight preflop and does not appear to have made any particularly donkish moves.

Is this a set, straight or A/x two pair often enough to fold?