Don't want to take the fun out of this, but it is necessary to think about inappropriate use of another person's character. Therefore:
Have an easy, integeated way to flag a character as copyright infringement that puts the char on hold immediatly OR immediatly assign a random name to the character.
Please no legal discussions in here, such a feature should be common courtesy, especially on a fandom where fursonas are often something very personal.
With the ingame assets used it would be easy to evade any trouble by just not using the name along with the design of another's character. Therefore the alternative to replace the char-name with a random name.
Customer support service by UserEcho