If it's any consolation, we've hardly got it figured back home. Wizards are accepted and admired within polite society, of course, given that they control 90% of all trade, but witches, not so much. A witch is a person (male or female) who uses magic without the correct Academy certification. As women are unable to attend the Academy... the vast majority of witches are women.
Empress Tysentso, witch, is currently in the process of effecting change. Violently, if necessary.