With my first, he weaned himself at 11 months, but I'd been supplementing with one daily bottle of formula since he was 6 months. So we put him on the bottle for one month, until he turned a year old, and then we mixed cow's milk into his bottle in gradually increasing amounts until it was mostly milk. Then we switched him to a regular cup (no sippy lid) and then put him on milk, cold-turkey.
I think it's best for infants to be on breast milk or formula until at least a year, because of their developmental needs. However, I believe an 11-month-old can eat whole milk yogurt and a couple ounces of cheese a day (you'd have to check on the cheese), which is a way to meet her dairy needs. (Also protein!) You may want to call her pediatrician and talk to a nurse there, to get suggestions for dealing with a refusal to drink formula. That shouldn't cost anything for a phone consultation. You may need to pump milk for a month if your daughter refuses formula, because milk and formula have the highest percentage of fat and nutrients for a baby's development. (Brains are largely made up of fat, which is one reason babies need so much of it. Plus it gives them lots of fuel for all their activity.)
I got a lot of useful feeding information from "Baby 411" by Denise Fields.