> Sexism is unavoidable, and it is not always a negative. Men hold open doors, or offer up their seat, for women more often than for men. That too is sexism, but rarely do you hear complaints.

I've often heard complaints, by women, that this inequality is sexist, patronizing and, essentially (though usually the complaint comes from people who wouldn't use the term) a micro-aggression sending the message that women are regarded as less capable of taking care of themselves.

Now, these complaints usually aren't the complainants' biggest complaint about sexist behavior, but you may be confusing the fact that their are far bigger problems that drown out these complaints with these not actually being problems for women.

> We shouldn't try to root out all sexism, because that is the same as rooting out sexuality itself.

Sexism is not necessary for sexuality, even if it is deeply incorporated in some social norms surrounding sexuality.