How did edmend went to white witch?

You seem to be mixing up some details! There's no character named "Edmend" in the Chronicles of Narnia series by C.S. Lewis. Perhaps you are thinking of:

* Edmund Pevensie: He is one of the four Pevensie children who travel to Narnia, and he is tempted by the White Witch, but he eventually escapes and fights alongside Aslan to defeat her.

If you could clarify who you are referring to, I can give you a more accurate answer.