I did analyze the hand, but I also threw in a point that I was pretty sure some people were not aware of.

As I said about the hand. There are 2 different ways to play it and both are very correct. If you raise you can see the 33 possible push preflop and the QQ will most certainly call. This puts you in a great spot. You get 1 all in preflop and the flop that happened allows you to push on the flop and get the Q's to call. You are against 4 outs at that point to win the whole thing.

The other way to play it is the way you did. The way you played it allows you to get away from the hand easier if you don't like what the flop offers. However, it's going to take a rather great fold to make that happen with AA.