The emoji is more a symptom than the problem. I can't see any reason why a group of either sex, shouldn't be able to get together if they want to, to talk about breastfeeding, menopause, prostate cancer, childbirth etc... without having to invite the opposite sex. What word would you suggest for those people?
SP, your example is wrong. As mozz says, you can't have a male mother, so your example of a "man" producing eggs and giving birth, makes them a mother- and therefore, a woman, female...