She is also the caretaker for the new Hakurei's Shrine Maiden?

Yes. For such an insane person, I'd say good riddance.

I heard her mother was also a Hakurei's Shrine Maiden....

Yes. She was killed by youkai before she could gave birth to a boy.

In any case, I've never heard of a woman becoming head of the house.

The next head should be someone among us, don't you agree?

At that time, we will become each other's rival.

At that time, we will become each other's rivals.

Hahaha.... I can't wait. When the time comes, I'll gladly take you on.