A.F.
I would almost 100% guarantee that if you took your daughter off sugar for a month and then only let her have it in small amounts that the body odor would go away.
My mother did a sugar detox (she didn't think she ate that much but still did it) and now does not have body odor EVER.
I would NEVER give a child a deoderant with aluminum in it. Mabey you could use a powder puff to apply cornstarch to her underarms if needed.