What is the character related to this pun? On this website, there is this reference to an intended pun on the name of this character > The Japanese character for 'KA' in Fukada means shark (which explains her particular teeth). What would be the character used to do such a pun?

Actually, the website should have said

> The Japanese character for 'FUKA' in Fukada means shark

Apparently her name is (and means "(large) shark").