Great photos! Thanks for sharing. BTW, do women compete against men in kendo?
I don't think I'm the best person to answer your question as I don't actually practice kendo myself, although I have seen a lot of it. However, as no one else has offered to answer your question, I'll give it a go.
From what I understand, women usually practice with the men and sometimes pair off against them, but they also have their own kendo tournaments just for women. I've even seen kendo tournaments for housewives, workers, students, policemen, etc. Not a month goes by that there isn't a kendo tournament somewhere here in Japan.
Perhaps someone else can give you a better answer.
I hope that helps.