mole
The "furry" means it's probably a mammal, but maybe... Wildlife?
3-toed sloth!
One four letter animal that does not rhyme with any words is wolf.
craw
fang
Wolf.
Click
'Hare' is a four letter word for an animal, that starts with the letter 'H'.
fawn
colt
Pelt
Rat..or cow...or cat..or hog...YEAH!!