Q. Is it true that Mishna Berura writes that women can receive an Aliya on Shabbat?
A. Shulchan Aruch (O.H. 282: 3) indeed rules that women can be included on the count of the seven Aliyos on Shabbos. However, he immediately adds that our Sages said that a woman should not be called to the reading of the Torah, due to the honor of the congregation.
Rabbi A. Bartfeld as advised by Horav Shlomo Miller and Horav Aharon Miller Shlit’a