QQ in BB facing 4-bet. Fold or Felt?

[Wolfram]

This is always a troublesome spot for me.

Villain is 16.6/14.2/5.4 after 416 hands. I don't have specific notes on him. I have not been 3-betting him much this session.

Party Poker - No Limit Hold'em Cash Game - $0.50/$1 Blinds - 5 Players - (LegoPoker Hand History Converter)

Hero (SB): $157.86
BB: $114.76
UTG: $98.88
CO: $221.76
BTN: $104.95

Preflop: Hero is dealt Q[img]/images/graemlins/diamond.gif[/img] Q[img]/images/graemlins/spade.gif[/img] (5 Players)
2 folds, <font color="red">BTN raises to $3.50</font>, <font color="red">Hero raises to $11.00</font>, BB folds, <font color="red">BTN raises to $33.50</font>, Hero folds

Pot Size: $45.50