Throwing anything at another person... excepting things like baseballs and footballs in sporting contests... is battery if it hits. It is assault if it doesn't and/or the intent is conveyed.
Having said that, the simple possession of a tampon by a woman in no way suggests, by solely by its mere presence, it is intended to be used in such a manner.
Assault and Battery legal definition of Assault and Battery. Assault and Battery synonyms by the Free Online Law Dictionary.