how should I play this hand?

I decided not to Cbet because of highly connected board and was probably gonna get call. Then when the Q hits I raised for value thinking he may be still drawing to something or worse Q or just bluffing. The momment I get re-raised I think its time to let it go but maybe the raise is just wrong and I should take another line playing this kind of spots.

PokerStars - $0.05 NL (6 max) - Holdem - 5 players
Hand converted by PokerTracker 4

CO: 100 BB (VPIP: 18.06, PFR: 14.94, 3Bet Preflop: 8.00, Hands: 157)
BTN: 88.4 BB (VPIP: 14.29, PFR: 11.43, 3Bet Preflop: 11.11, Hands: 36)
SB: 122 BB (VPIP: 32.26, PFR: 22.58, 3Bet Preflop: 12.50, Hands: 66)
BB: 100 BB (VPIP: 30.65, PFR: 22.58, 3Bet Preflop: 18.18, Hands: 62)
Hero (UTG): 129.4 BB

SB posts SB 0.4 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.4 BB) Hero has Q♥ K♣

Hero raises to 2.4 BB, fold, fold, fold, BB calls 1.4 BB

Flop: (5.2 BB, 2 players) 7♣ 8♦ T♣
BB checks, Hero checks

Turn: (5.2 BB, 2 players) Q♠
BB bets 3.6 BB, Hero raises to 10 BB, BB raises to 29 BB, fold