Inconsistencies in the book

[Raynor]

as it was told that no living man could kill the Witch-King

No it wasn't. Glorfindel's prophecy was:

Originally Posted by Gondor and the heirs of Anarion, Appendices, LotR

Far off yet is his doom, and not by the hand of man will he fall.

This does not state his invulnerability; it is a prophecy. Theoretically he can be killed by anyone; practically, he will fall, but not by the hand of a man. Even Melkor, the mightiest foe ever, feared for his body; if he couldn't make himself invicincible, how could a mere ringwraith, a mortal after all? And, according to Myths Transformed, Melkor's fear was founded, since he was finnally executed before being thrust out into the void.

[MatthewM]

Originally Posted by Raynor

No it wasn't. Glorfindel's prophecy was:
Far off yet is his doom, and not by the hand of man will he fall

What you stated is right from the book, but it means the same thing. No living man could have killed the Witch-King. Gandalf himself it seems believed in the prophecy as he mentioned it in Minas Tirith.

[Raynor]

What you stated is right from the book, but it means the same thing.

False dilemma; a woman will kill him, but it doesn't mean a man can't kill him. Glorfindel wasn't enumerating the ways the witch-king can be killed, only the one which will actually kill him; there is no exclusive qualifier regarding possiblities.