Would A Long Haired Chihuahua Be Hard On Pet Allergies?

I want my grandma to have a dog, but she has pet allergies. Cats, bad, dogs, not too bad. She lives alone in a building that allows small dogs. I want her to find something cute. I know Chihuahuas are usually non-allergy dogs, but would a long haired Chihuahua be ok? If not, please will you give me some other ideas? Thanks!