Coffee Cooties

Well Carlo. This all depends on how often you go to Grinders. If it's everyday, I think you could safely never wash your cup again. (Although you might want to rinse it on a Monday morning.)
If you go less frequently than every couple of days, I'd suggest giving it a bit of detergent.
I'm sorry this reply has taken such a long time. I hope you haven't died from a mould-spore inflicted disease in the mean time.