He seems to have problems with women for some reason . He was a guest on Question Time last year and didnt have much to say. Maybe he felt a bit out of his comfort zone.
No, he doesn't necessarily have a problem with women, personally. But, being the obnoxious nutcase he is, he panders to the frustrations and resentments of men who manifestly do have a problem with women, mostly with not getting any, and he then throws in a dollop of Islamophobia in his quest for fame and fortune. It's easy enough to understand: Since he is bent on collecting followers who feel they are the victims of women, and the "PC mob" that insists even women be treated with respect, he needs to quash the competing female victim narrative, and deny its historical accuracy. Of course, a person who calls him on his nonsense - and a woman, to boot - quite predictably stirs up the rage of "The friends of Jordan Peterson". In other words, he's a pied piper, and "harmless" is the very last term I would use to describe him.
Sounds like nothing I have heard him say.