Are Tolkiens Books Sexist?

If you mean sexist in the sense of misogynistic, no, I don't believe Tolkien was. If you mean sexist in the sense that Tolkien fostered a particular set of stereotypes about the social role of women, I would say yes.

But this wasn't necessarily something bad. I agree with others who suggest he just didn't know how to create really complex women. But he doesn't denigrate them. If anything, he puts them on a pedestal.