In the movie Lord of the Rings: Return of the King we see that the Witch-king gets stabbed in the face by Éowyn after she made saslik of his Fellbeast.
Glorfindel said about the Witch King that:
"He will not return to this land. Far off yet is his doom, and not by the hand of a man will he fall."
— Glorfindel, The Return of the King, Appendix A (iv)
The Witch King knew this because he grabbed Éowyn by the throat and said proudly: "Fool! No man can kill me... Die now!" Then the guy got stabbed in the back by a hobbit, falls on his knees while releasing his prey and Éowyn fondly replies: "I am no man!" and stabs the dude in his face. Beside the fact he was having a really bad day, the 'prophecy' appeared to be true, but failed to mention some help of the little folk.
After seeing Galadriel's performance against Sauron in the Hobbit trilogy (movies again) I was wondering whether Galadriel would have been able to defeat the Witch-king. She is not a man, nor of the race of Men, so technically she could have stabbed him in the face instead and fulfill the prophecy right?
I did not read the books but I've seen the movies and know they are a bit off sometimes (compared to the books). Is there any specific reason (in the movies or in the books) that suggest that Galadriel couldn't defeat the Witch-king?