That's ok, with practice you'll get better if you wish.
Reading certain character art tutorial books will also help you designing caricatures - even ones on humans help by giving you tips and you can adjust your character look to the methods you learn with practice (after all an anthro is a "human" like character).
Drawing is in no way mandatory in the furry fandom if you don't want to do it, I've heard most people say they can't draw/design too well and whenever they draw they attempt to draw purely just to get their ideas across as good as they can. So don't worry about that. Just enjoy yourself and do what you want in terms of creative furry expression.
Video game design sounds fun, by the way