The entire time she's just trying to snare him in one of her traps and paint him as a sexist. He probably anticipated it and navigates through her web very elegantly.

It's because she'd gone down a path that would have taken so much to reverse it can seem easier to keep going where the more she gets a sense she'd gone wrong the more she needed to flinch away so as to avoid it looking at it too closely. If she'd focused on it too long it would be much harder to close her eyes and pretend she didn't see it.

But then if you keep lying to yourself like that you go further into insanity which is what you saw here., where she ends up saying the sort of things you might say in the moment and either realise you didn't mean it or immediately realise how stupid and unreasonable what you said was. She almost had that moment with the gotcha, but she decided to keep going rather than take the reasonable step next step of self refection and realise she'd better start asking some actual questions and put aside some of the assumptions that betrayed her...

But apparently when the fool realises they're a fool it's very tempting try and get out of it by just increasing the foolishness until they've sufficiently convinced themselves again.

It pretty much didn't matter what he said at all she might as well almost have been reading off a script and talking to a strawman (har har see that's a joke)