Can a full grown ball python stay in 32 qts?

Probably. As you can see in most of the responses, many keepers will use 32 qt's for their adults. But for me personally (I'm not an expert keeper or a newbie), Anything over 900 grams gets moved to a 41 qt tub, where it will stay until it gets HUGE. I feel this gives a larger snake more room for constriction, thermoregulation, etc.

If you are planning to breed her then I would get her a 41 quart tub for breeding room! I use 41 quart rack for my adult males and females!