regardless, there's literally nothing that would prevent a woman from buying the "man" version. i would buy the pink one if it was cheaper without thinking twice.
no idea about the deoderant side though, obviously men/women want different smells on that. i wonder if it might have to do with women wanting more "exotic"/complex smells where men care less, or wanting a broader variety.
here's the other interesting question it presents: are women (for some reason) less price elastic on some things? something like deoderant is a widely available commodity product so companies magically finding some way to make women only pay more (but not men) would be surprising.