Proper push, or awful play??

[mntbikr15]

A friend of mine made the final table of the 200 Party tourny the other day. However, was the shortstack going in. Had around 60000 chips with blinds of 10K/5K, there was an ante but I dont remember what it was.

Anyway I dont have the hand history but after folding the first 8 or 9 hands she picked up AQo in the SB, MP raised to 35K and she pushed, having around 45K if she folded. MP calls, turns over KK, and she is out in 10 place.

My question is was this an easy push or was folding and waiting for a better spot the proper play. From what I had seen of the table there was not much stealing going on and looking back she was almost certainly a dog, or at BEST a coinflip. Would this be the proper spot to take a coinflip with a full rotation there as an option if you fold.

Any advice would be appriciated.

Thanks,
Evan