"Milk" has been used in English for centuries to refer to milk-like substances. Are you going to rename milkweed and dandelion milk as well?
What do you call coconut milk now? Soy milk has been fine for decades. If anyone can demonstrate an instance of an averagely-intelligent person not understanding coconut/soy/whatever milk doesn't actually contain milk from a mammal, I'd be very interested in seeing it.