Considering that the vast majority of mothers generally choose names which are pleasing to the ear and convey optimistic expectations for their children, I'd hardly describe your mother as being "cruel" and having a "sick sense of humor" for having named you "Kara
Aurael". But then, you know your mom better than I do.
Here are a few, perhaps kinder-sounding names for you anagrammed from "Kara
Aurael Williams":Maria Luisa
Iwasaki (won't work unless you're Japanese)Lauri Amalia