Common meaning:

When a person (typically a male) undervalues and dislikes women.

Hidden meaning of the Equity religion: 

The systemic hate that all men have toward women.

Discussion:

Misogyny is the hatred that is contained in the hearts of all men toward women. They dislike them so much that they will do whatever it takes to make sure that they don’t succeed.

Equity does not think that some men are misogynous and dislike women, it claims that all men, every single one, hate all women. It doesn’t take much looking around to discover that this is a complete lie, but the Equityists are not looking. They believe, by faith, that all men hate all women and any evidence to the contrary is dismissed as sexist propaganda, designed to hide the harm that they know men are doing.

Back in the real world, we find that most men tend to like women and although, on occasion, some men don’t treat them as well as they should, overall there is no universal misogyny lurking in the hearts of all men.

You have to admit that at least this religion is consistent in its lies.