Okay, I have a fun hypothetical question. I do know that there are some of us non-Japanese folk out there that hold Minkyo Kaiden licenses. It does happen and it is a little bit of a deviation from the Japanese norm. This got me thinking about another deviation:
If you were the head of a style (and maybe you are), would you leave the style to a seemingly well-suited woman? I cannot think of any female heads-of-a-MALE-style (not Naginata).
Before you give the obvious progressive "yes, to be equal" answer, please think about this one. This poor lady will be dealing with some already somewhat violated and conservative Japanese culture. It would be more taxing than holding a public office. Honestly, if I were a teacher in that position, I might possibly say, "no."
This one has been bugging me for a while.