Good Laydown?

[Zonify]

Paradise Poker $10 Mini. I am Zonify

Table "Tamaketa" ($10 tournament) -- Seat 1 is the button
Seat 1: Zonify (1,015.00 in chips)
Seat 2: goatgoat (980.00 in chips)
Seat 3: leea1001 (1,150.50 in chips)
Seat 4: AyK70 (1,205.00 in chips)
Seat 5: betobeto (990.00 in chips)
Seat 6: *lefty* (850.00 in chips)
Seat 7: sapphocles (975.00 in chips)
Seat 8: mrflopdanuts (914.50 in chips)
Seat 9: Gondigin (1,105.00 in chips)
Seat 10: fudge32 (815.00 in chips)
goatgoat: Post Small Blind (5)
leea1001: Post Big Blind (10)
Dealing...
Dealt to Zonify [ Kh ]
Dealt to Zonify [ Kd ]
AyK70 : Call (10)
betobeto: Fold
*lefty* : Fold
sapphocles: Fold
mrflopdanuts: Call (10)
Gondigin: Call (10)
fudge32 : Fold
Zonify : Raise (40)
goatgoat: Fold
leea1001: Raise (80)
AyK70 : Fold
mrflopdanuts: Call (80)
Gondigin: Fold
Zonify : Call (50)
*** FLOP *** : [ 2h 9c Qc ]
leea1001: Check
mrflopdanuts: Bet (100)
Zonify : Call (100)
leea1001: Raise (300)
mrflopdanuts: Call (200)
Zonify : Fold
----------------------------------------------------------

Mrflopdanuts was a very agressive loose player, and leea was very agressive and somewhat hard to read. Earlier I had AK and raised it to 40 and she called with AT, this time I raised it to 40 and she reraised. I read her for a very strong hand, I am thinking AA or QQ. I called on the turn because I had a feeling leea would check raise, and I really didn't think she had AQ or AK, since she seemed confident in the raise. Once she check raised to 300 I had her on QQ, and folded. Was this a good fold, what could I have done better?

[Zonify]

*** TURN *** : [ 2h 9c Qc ] [ 2d ]
leea1001: Bet (760.50)
mrflopdanuts: Call All-in (524.50)
*** RIVER *** : [ 2h 9c Qc 2d ] [ 4h ]
*** SUMMARY ***
Pot: 2,044 | Board: [ 2h 9c Qc 2d 4h ]
Zonify lost 190 (folded) [ Kh Kd ] (two pair, kings and twos)
leea1001 bet 1,150.50, collected 2,280, net +1,129.50 (showed hand) [ Qs Ac ] (two pair, queens and twos)
AyK70 lost 10 (folded)
mrflopdanuts lost 914.50 (showed hand) [ Jd 9s ] (two pair, nines and twos)

[NotMitch]

Raise more preflop. Raise the flop. If you get reaised you have a choice a to make but I think folding this flop is a big mistake.