I’ll tell you what my guess was!
I entered “griffin”/”griffon/”gryphon””~! After all, “big cat” = lion and griffins have a bird’s head and wings too~! :3 (Er, I submitted it as “griffin” but I just wanted to point out the different spellings. ^^)
I sure hope the animal is cute cuz that dragon isn’t and the cat sure isn’t either! I think I’ll do my list of cute Tiny Farm animals one day soon. XD