Idk quite frankly if Emma ever had an animal representation of her telepathy so perhaps I am missing something. If she hasn't (which I'm sure she hasn't had one) then this is a fun little topic since some telepaths have had animal representations of their telepathy. Jean's telepathy is in the form of a phoenix and we have seen Psylocke's usually take form of her trademark purple butterfly. If Emma could have an embodiment of sorts that represented her telepathy, what would you think it would be?
Personally, I like a white tiger. Elegant but ferocious.