Your character's species: Domestic Ferret
If your fursona/avatar was:

a general airborne species: Golden-Capped Fruit Bat
a general aquatic species: Dolphin
a general invertebrate: Preying Mants (Wait...)
an amphibian: Salamander
a bird: Golden Eagle
a canine: Grey Wolf
a caniform carnivore (excluding canines): Raccoon?
a dinosaur: Velociraptor!
a feliform carnivore (excluding felines): Mongoose
a feline: Jaguar
an insect/arachnid: Erm... Dragonfly?
a marsupial: Thylacine
a microorganism: .... Uhm... Amoeba?
a mythical species: Gryphon
a primate: Spider Monkey.
a reptile: Komodo Dragon.
a rodent or lagomorph: Flying Squirrel
an ungulate: Erm... Rhino.
a mammal in a group not listed above: BADGER.

... I would like to thank Wiki.