identity politics, nothing more.
Focus on the inane criticisms of her, things she cannot control or are natural, like child birth, then move onto other criticism that may be valid but with the link established in the readers mind the writer can openly dismiss these as extensions of the previous.
It is an all too common mechanism to deflect valid criticism of a person's actions. First by finding the obviously offensive, linking normally unrelated valid, and dismissing as a whole.
It is almost always seen in politics when a person in power sycophants line up to bemoan criticism. When they find they themselves cannot support the actions being criticized, let alone rationally defend them, they then in turn portray those who criticize of an offensive behavior, belonging to an offensive class of people, or worse suffering from severe personal defect, usually mental.
See it before, will see it again.
I am not saying criticism of her is valid or not, I really don't care. What she has been doing does not affect me in any other way. Being on the top of the pile means you get barbs from every direction, she definitely gets them from both sexes does she not? Its part of the game. The only dishonest people are those pulling the tricks I listed.