I do not know what your vet will charge for the injection, but you could just use tablets for human consumption. They are relatively cheap and sold in drugstores, supermarkets etc.
I would stop the milk and administer a daily tablet of calcium+Vitd3+VitK so the calcium will be absorbed properly. You could also bring her to your vet to administer calcium injection.
Milk leads to diarrhea in chickens as they are lactose intolerant. Feeding certain amounts of plain greek...