Q. Do women answer Baruch Shem Kevod on Yom Kipur loud as men do? Do they also have to stand during the repetition of Shmone Ezreh?

A. Poskim disagree if women should say Boruch Shem aloud or not. Yeshuos Yaakov (619:2, Gur Aryeh Yehuda (O.H. 82) and others maintain they should while K’tzeh Hamateh (124), Taharas Hashulchan (619) et. al. disagree. The latter explain that women are not or don’t have the need to be considered like malochim, as Mogen Avrohom (619: 10) writes. See also Nitey Gavriel (Yom Hakipurim 30: 9.)
In regards to standing by the repetition of the amida or when reciting selichot, if a man is able to so it is commendable (Eliahu rabba and Elef Lamateh) It is less expected to do so for women, as mentioned before (Nitey Gavriel ibid. 13)
Horav Shlomo Miller’s Shlit”a opinion is that it depends on the minhag and tradition of the location. The same applies to standing during repetition and selichos. He pointed out that many men don’t stand the whole time either. He added that the fact that women daven in a separate section is also a factor for the ensuant different minhogim.

Rabbi A. Bartfeld as revised by Horav Shlomo Miller Shlit”a.