100NL: KK on paired board

[Aero1441]

SB: $100.65
BB: $137.25
UTG: $275.95
UTG+1: $104.45
Hero (CO): $100.15
BTN: $43.40

Pre-Flop: K [img]/images/graemlins/heart.gif[/img] K [img]/images/graemlins/diamond.gif[/img] dealt to Hero (CO)
UTG raises to $2.00, UTG+1 folds, Hero raises to $7.00, BTN folds, SB folds, BB folds, UTG calls

Flop: ($15.50) J [img]/images/graemlins/club.gif[/img] 7 [img]/images/graemlins/heart.gif[/img] J [img]/images/graemlins/spade.gif[/img] (2 Players)
UTG checks, Hero checks

Turn: ($15.50) Q [img]/images/graemlins/diamond.gif[/img] (2 Players)
UTG checks, Hero bets $10.00, UTG calls

River: ($25.50) 9 [img]/images/graemlins/heart.gif[/img] (2 Players)
UTG bets $35.50, Hero ?

Do I ever beat anything here? He is never doing this with a Q or 9 is he? Doesn't he need to have at least trips here or maybe FH? Or did I play it so slow that he might think I have air?