Ear mite treatment

I have treated a cat with ear mite medicine and a very little bit got on the outside of the ear, although I wiped the ear with cotton balls, there was still a little solution on the fur.

Will it hurt the cat when the cat grooms himself, if he ingests any of it? If he did, it would be a small amount. I don't want to hurt him, just get rid of the ear mites.

Will the cat feel better after one treatment? I know it takes several treatments, but just wondering how long it will take for him to start feeling better.

I'm assuming (and hoping) you got the ear mite meds from the vet so you should phone them and ask this question. They'll tell you over the phone.