Are Tolkiens Books Sexist?

[Mister Underhill]

[...]a devious manipulator? Where on earth did that come from?

Can't you two see that she was just using Aragorn to worm her way out of that oh-so-boring immortality thing and the all-too-predictable Halls of Mandos ("Oh, Uncle Celebdemoníal. Yeah, great to see you, too. Looking forward to spending eternity with you. Again.") so that she could see what's behind Door Number Two, the Doom of Men? All the other elf-maidens must be sooooo jealous.