Furry characters come in many different levels.
The most animalistic ones are basically just talking animals; Narnia, Mr. Ed, that kind of thing.
The next level is a character who can carry things, walk, talk, etc. but are still basically animals. Redwall.
The next level is a character with a basically human body, but an animal head, and perhaps pawlike hands.
So yes, Tsadkiel, Narnian talking animals count as furries.