[2019] Is it possible to delete a character?

What do you mean by broken graphics? If you didn't finish the character creation phase you should still be there when you reset the game. If you're having some problems you can report the bugs in our forum: https://www.playtemtem.com/forums/forums/bug-reports.11/

We're going to include a reset option in the next patch, but currently there's no way to do that.