Furry, in this wiki, refers to races of creatures that are anthromorphic animals. It does not necessarily mean the creature is literally furry.
To be considered a furry, the creature must be a sentient race, and it must have both human and animal qualities of a single animal. The creature must be generally human in shape (centaurs don't count). Typically the furry's head will resemble the animal, while its body is more human-like.
World of Armello
Dungeons and Dragons Settings