The burden of prophet hood is very heavy and Allah (SWT) who can carry it . Only 124000 prophets were among billions of human beings which means that most of people can not carry such heavy burden.
Women can never carry the responsibility of prophet hood not only because that it is very heavy, and because of the physiology of menstruation and pregnancy, but also because of the fact that prophets are sent to men and women, yet men opposed and denied , and woman can not deal with men especially when there is a challenge against those who deny the message and try to eliminate the prophet or his message. We read in Quran about prophets who were killed ( Is it that whenever a messenger came to you with what yourselves do not desire, you grew arrogant, some of them you denied and some you killed ) (Al-Baqarah ; 87).
Most pious ladies in human history (Lady Fatimah, Khadija, Zainab, Maryam and Asiya ) who suffered a lot in the way of Allah, were never prophets simply because arrogant men will not accept a message from Allah through them.