50NL, QQ UTG... all-in preflop... should i play it like this?

[kenadams]

It's only been a few orbits so I have no real idea of his betting ranges, but basically my 4-bet said to him: 'hey i got a big hand' and him pushing all-in says 'hey, i got an even bigger hand then you like AK/KK/AA'... I called his all-in, which meant that I was up for a coin-flip at best or being a 4-1 dog at worst...should i play it like this?

Party Poker No-Limit Hold'em, $0.50 BB (5 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

SB ($75.30)
BB ($46.50)
Hero ($48.75)
MP ($55.10)
Button ($88.85)

Preflop: Hero is UTG with Q[img]/images/graemlins/spade.gif[/img], Q[img]/images/graemlins/heart.gif[/img].
<font color="#CC3333">Hero raises to $2</font>, <font color="#CC3333">MP raises to $6</font>, <font color="#666666">3 folds</font>, <font color="#CC3333">Hero raises to $20</font>, MP calls $55.10 (All-In), Hero calls $48.75 (All-In).