No real reads on villain in early stages.

Party Poker No-Limit Hold'em, $0.50 BB (6 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

UTG ($59.60)
MP ($49.25)
CO ($78.06)
Hero ($46.50)
SB ($69)
BB ($40.82)

Preflop: Hero is Button with A, A.
3 folds, Hero raises to $2, 1 fold, BB raises to $3.25, Hero calls $1.50.

Flop: ($7.25) 4, T, T (2 players)
BB bets $3, Hero calls $3.

Turn: ($13.25) K (2 players)
BB checks, Hero bets $9, BB calls $9.

River: ($31.25) Q (2 players)
BB bets $20, Hero??

Ok, I'm sure most of you will say re-raise pf and I admit that could have been my downfall in getting caught up in all this. Didn't see the point in raising flop, hoped he would fire again on turn. The more I think about it, the more I think he has KK with that donkish min-raise pf. Thoughts?