I can't think of any female characters apart from Galadriel and Eowyn.Well, there was Ioreth (IIRC), the woman who tells them where to find athelas, but she was just sort of comic relief, I thought.
That's right, she was a healer, or a healer's helpmate, toward the end of ROTK. And the elf (I can't believe I forgot her name!) who marries Aragorn. Her character was a few sentences long in the book, but a fairly important character in the films. Very, very few dames in LOTR.
There were a lot in The Silmarillion, though, and they were quite complex.