Does it bother you?

no cause he grew più and più inhuman has time went on...

Not really because if te think about it, he was using Quirrell as a body and not a horcrux. Maybe he has a nose before Harry defeated him for the first time. His horcrux probably took away his nose.

Either that, o the director didn't think of getting rid of his nose.

Have te checked the book?

Not really.