Right off the bat, let's clarify that it's not remotely a man-hating thesis. It's about looking at how we all are affected by the beliefs floating around us.
"One need not be a man to be a misogynist either: women can fit the description too, as can non-binary people. . . . many if not most of us at the current historical juncture are likely to be capable of channeling misogynistic social forces on occasion . . . unwittingly policing and enforcing distinctively gendered norms and expectations but also, on my analysis, over-policing and over-enforcing gender-neutral and potentially valid norms, e.g., genuine moral obligations" (77).A primary issue discussed is that women who compete for typically male-dominated roles, "will tend to be perceived as morally suspect in at least three main ways: insufficiently caring and attentive with respect to those in her orbit deemed vulnerable; illicitly trying to gain power that she is not entitled to; and morally untrustworthy, given the other two kinds of role violations" (xiv). Women have an extra layer of barriers to wade through to get to positions of powers because everyone (men and women) has been socialized to believe women are the caretakers of the world. It's similar to what Neil deGrasse Tyson describes in the world's reactions to his efforts to excel in science - the path of most resistance: