[Dr. Franklin]

"It was said by Gimli that there are few dwarf-women, probably no more than a third of the whole people. They seldom walk abroad except at great need. They are in voice and appearance, and in garb if they must go on a journey, so like to the dwarf-men that the eyes and ears of other peoples cannot tell them apart."
The Return of the King, Appendix A

Give the Dwarves some credit. Unlike the Muslims, they didn't make the women wear a hijab or a niqab to hide their bad looks. Don't think anything else in Tolkien could be considered transgender. Unlike the Peter Jackson movies, Tolkien's Elven women were very feminine.

[Jonty30]

The only physical differences between men and elves that were noted by Tolkien is that elf eyes glowed a bit and they were about 6” taller than the average man.

Otherwise, elves and men were indistinguishable when not closely observed.

[Still Thinking]

Aruh? Liv Tyler is plenty feminine (although Eowyn is more my speed)