[Closed] NL 10 - OP v set - get away?

I have trouble getting away from these hands. Is there a point I should have given up?

Hand converted with online PokerStrategy.com hand converter:

Hand abspielen

$0.05/$0.1 No-Limit Hold'em (9 handed)

Known players:
[tg]MP3$2.00:///////;CO$13.03:///////;BU$1.70:///////;SB$20.10:///////;BB$3.13:///////;UTG1(Hero)$9.20:///////;UTG2$5.00:///////;MP1$3.18:///////;MP2$9.71:///////;[/tg]

Preflop: Hero is UTG1 with Q:c, Q:d.
Hero raises to $0.40, 7 folds, BB calls $0.30.

Flop: ($0.85) 6:c, T:c, 2:s (2 players)
BB checks, Hero bets $0.75, BB raises to $1.50, Hero raises to $2.85, BB calls $1.23(All-In).

Turn: ($7.18) 5:h (2 players)

River: ($7.18) 9:h (2 players)

Final Pot: $7.18.
Results follow:

BB shows three of a kind, twos(2:h 2:d).
Hero shows a pair of queens(Q:c Q:d).

BB wins with three of a kind, twos(2:h 2:d).