Love the name Mia, it fits her so well. Patience is a pretty name too, but I can certainly understand wanting to use your (or dh's) preferred name. It would be silly for anyone to be offended. I would think most breeders expect owners to choose a different name for a new pet.
I know what you're saying about fosters and new names. I've had some that their names were not known, all have learned their new names very quickly.
lol....most of mine don't care what I call them.....just be sure to call them for dinner