My mil had a shihuz...who injured one eye and had to have it removed. Baby got along just fine.
A side note...a few weeks later my MIL had her cornea replaced...her eye was glued shut until it healed. One day I casually mentioned....gee, ever hear how people and pets start to look alike?
One of my cats injured their eye and it was removed. There are animal opthamologists who can make an artificial eye replacement. I didn't do that...but the option is there.