My best friend and several of my other girlfriends do as they refuse to offer themselves up in such a "degrading manner."

This guy's girlfriend: https://www.reddit.com/r/sex/comments/2bbsg5/my_girlfriend_thinks_that_doggy_style_is/

Whoever the heck this person is: https://www.quora.com/Do-you-think-engaging-in-whats-known-as-doggy-style-is-demeaning-to-a-woman

I also linked a few others in the article, like the minister who claims it's demonic or some crazy shit.