[NL10] 250bbs. QQ preflop ante 4bet UTG. Es correcto el fold?

PokerStars - $0.10 NL (6 max) - Holdem - 6 playersHand converted by PokerTracker 3Hero (BB): $64.17UTG: $39.87MP: $25.00CO: $15.16BTN: $25.00SB: $25.37SB posts SB $0.05, Hero posts BB $0.10, Hero posts ante $0.02, UTG posts ante $0.02, MP posts ante $0.02, CO posts ante $0.02, BTN posts ante $0.02, SB posts ante $0.02Pre Flop: ($0.27) Hero has Q:club: Q:spade: fold, MP raises to $0.30, fold, BTN calls $0.30, fold, Hero raises to $1.50, MP raises to $4.00, fold, foldMP wins $3.47

Yo soy un 45/42 aproximadamente. El villano lleva 31 manos en la mesa y es un 28/22 y previamente le jugué una mano en la que le pelé unas 180bbs (la cuelgo debajo para más info). No se si hice bien o mal en foldear. Si meto 5bet creo que le tiro de JJ TT AQ y me aislo con AK KK+. ¿Alguien me puede explicar que hacer y por qué?

PokerStars - $0.10 NL (6 max) - Holdem - 6 playersHand converted by PokerTracker 3Hero (MP): $44.69CO: $41.65BTN: $29.59SB: $10.45BB: $25.50UTG: $25.00SB posts SB $0.05, BB posts BB $0.10, Hero posts ante $0.02, CO posts ante $0.02, BTN posts ante $0.02, SB posts ante $0.02, BB posts ante $0.02, UTG posts ante $0.02Pre Flop: ($0.27) Hero has 6DIAMONd 6:spade: fold, Hero raises to $0.30, fold, BTN calls $0.30, fold, BB calls $0.20Flop: ($1.07, 3 players) 2:heart: 6:club: ADIAMONd BB checks, Hero bets $1.02, BTN raises to $2.90, fold, Hero calls $1.88Turn: ($6.87, 2 players) K:heart: Hero bets $3.28, BTN calls $3.28River: ($13.43, 2 players) 7:club: Hero bets $12.83, BTN calls $12.83Hero shows 6DIAMONd 6:spade: (Three of a Kind, Sixes) (Pre 67%, Flop 91%, Turn 95%)BTN mucks 2:spade: A:spade: (Two Pair, Aces and Twos) (Pre 33%, Flop 9%, Turn 5%)Hero wins $37.59