Something this complicated and intricate is hard to find the message of, but, the first paragraph is saying that we need to stop the idea of women needing to be free of any small problems, and i think the second one means that the large egos of some men are due so because the societal standard and idea of what a manly man should be requires them to act this way to be seen as a man.
Note: My translation is not guaranteed to be correct. This is just the best I can do.
