Oh, yuk! It's like naming a kid Sambo. Fagin was an antisemitic creation of Dickens, and the
Alec Guinness film/movie dating right back to 1949 showed a really grotesque villain that I find quite astonishing especially just after the Holocaust. Subsequent depictions haven't been much better!
If you must use this sort of name, there's the Yiddish girl's name
Feige to play around with, though most girls named for a
Feige will be
Faye or
Fiona!