The issue with "mother" does rile me. The term "mother" is something of which most women are particularly proud. To relegate that term to "person who gave birth" is not only insulting, it's simply daft.
Similarly with "chest feeding". Women have breasts; they use them to feed their children; ergo, the children are breast-fed. Men do not have breasts and cannot feed a child. Women who call themselves men might be able to do that but that's not the same thing at all (and why, since they'd chosen to adopt the persona of a man, they'd want to feed a child from their breasts would be puzzling). Such people need to sort themselves out or, if they can't, they should not expect everybody else to subscribe to such utter nonsense.