Quote from : Be a Hobbit, Save the Earth: the Guide to Sustainable Shire Living Book

But of all the women, Éowyn is the strongest, quite frankly, because of her weakness: she's only human. She has no special powers, no immortality, only her innate grit and drive to be something more than just a shield-maiden. And nothing whatsoever will stay her on her course. In the end, she, and her faithful companion Merry, take down the Witch King HIMSELF! She kills the one servant of Sauron that no man can kill; she kills Fear itself in what is arguably the most dramatic moment in the books. I think it is significant that the embodiment of Fear in The Lord of the Rings is slain by a woman. In fact, only a woman is capable of doing so.