There's no question that she came to him, but she was obviously reluctant to do so: "Slowly, slowly got she up/And slowly drew she nigh him..." I think we can assume her reluctance was motivated by the fact that William was such a wuss. How many of you women would be motivated to love a man who--because you had shown no interest--went to bed and determined to die? That was bad enough when Elaine of Astelot did it--a real man would just get drunk and write a song about it. As the lily maid would have done if she were woman enough.

--seed