Should I Have Checked the Turn??

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Table is typical.

Party Poker 2/4 Hold'em (10 handed)

Preflop: Hero is MP3 with A[img]/images/graemlins/spade.gif[/img], 3[img]/images/graemlins/spade.gif[/img].
UTG calls, UTG+1 folds, UTG+2 folds, MP1 folds, MP2 calls, Hero calls, CO calls, Button folds, SB completes, BB checks.

Flop: (6 SB) 4[img]/images/graemlins/club.gif[/img], Q[img]/images/graemlins/spade.gif[/img], 3[img]/images/graemlins/club.gif[/img] <font color="blue">(6 players) </font>
SB checks, BB folds, UTG checks, MP2 checks, <font color="CC3333">Hero bets</font>, CO calls, SB folds, UTG calls, MP2 calls.

Turn: (5 BB) 6[img]/images/graemlins/spade.gif[/img] <font color="blue">(4 players) </font>
UTG checks, MP2 checks, <font color="CC3333">Hero bets</font>, CO calls, UTG folds, MP2 calls.

River: (8 BB) 9[img]/images/graemlins/club.gif[/img] <font color="blue">(3 players) </font>
MP2 checks, Hero checks, CO checks.

Final Pot: 8 BB
<font color="#990066">Main Pot: 8 BB, between Hero, CO and MP2.</font> &gt; <font color="white">Pot won by CO (8 BB).</font>

Results in white below: <font color="white">
MP2 shows 5d 5c (one pair, fives).
Hero shows As 3s (one pair, threes).
CO shows 7s 6h (one pair, sixes).
Outcome: CO wins 8 BB. </font>


So, is this turn bet profitable in the long run or not?

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