(*Male) – When I wrote that only the males will be Kohanim Gedolim, I said this with reservation.
There is an enormous Machlokes Rishonim to define the P’sul of אשה in the Avoidas Hamikdash. Some learn that every woman is passul because she is a זרה – the Kedushas Kehunah was given only to the male progeny of Ahron. Others learn that there is a specific p’sul relating only to women, unrelated to that of Zar (non-Kohen). [One major difference being whether a Bas Kohen who does the Avoidah is Chayev Misah]
If the whole impedition is because she is not a Kohen, then in a time when all non-Kohanim are allowed to perform the Avoidah, women may also be permitted.
Still, I find it difficult to believe that women will be doing the Avoidah.