I'd be wary of commenting on whether something was sexist for women or not, when I have no actual day to day experience of discrimination against my sex.
Nobody looks at my sex and decides they are going to bump my garage bill up, nobody treats me like my most important qualities are sexual, nobody judges my intelligence by my hair colour, I've never walked around town at night and felt even remotely vulnerable, I can go anywhere I want on my own and never get bothered by people I don't fancy.
Wimmins have totally different **** to deal with, and can be touchy about stuff because they know we are never going to experience it ourselves.