"If you think I'm wrong [and feminism is needed], how do you explain the numbers of people deserting feminism?"
Even back before women could vote, there's always been a large proportion of women (maybe even a majority) who claim to be repulsed by anything to do with women's rights.
Women are constantly patted on the back for declining to make a fuss. The qualities of passivity, politeness, being accommodating and generally hanging back in a secondary role are praised.
Women know that, if you step out of line, there's a whole arsenal of techniques to shut you up. Gaslighting: what rape culture? what pay gap? The implication that you're a crazy, bitter, man-hating hysteric, which is supported by an entire gender-specific vocabulary of words used to diminish women who talk/argue too much.
There's nastier stuff, too, with implicit threats of violence and sexual assualt. You should have seen the Women's March in London's FB group before it was obliged to be members only. An awful lot of men turned up to explain, with visual aids, that women have it worse in Saudi Arabia, so gobby cunts like us should STFU or we might get what's coming to us.
I don't really blame any woman for initially, instinctively drawing back from the word 'feminist'. Why make life harder for yourself? Why stick your head above the parapet to be laughed at, patronised and threatened? I do, however, think that people like STFU, who post in elaborate detail and condescending tone about how we're all simply imagining mainstream misogyny and sexism, are part of the problem, not just a symptom of it. Your views on whether men should temporarily modify their behaviour in order to stop a woman feeling threatened (of course not! what if the man is slightly inconvenienced?) are particularly nasty.