I'm not gay, but I thought a Fursona might sound interesting, so let's try this out...

Your fursona's species: Don't have one

If your fursona/avatar was:
A general airborne species: Bat?
A general aquatic species: Clam? lol
A general invertebrate: Jellyfish?
An amphibian: Salamander
A bird: I hate birds, I would kill myself if I was a bird.
A canine: Dog, Wolf or Fox
A caniform: Raccoon
A dinosaur: T-Rex
A feliform carnivore (excluding felines): Cheetah
A feline: Leopard Cat
An insect/arachnid: Mantis
A marsupial: Kangaroo
A microorganism: Paramecium?
A mythical species: Dragon, ftw
A primate: Lemur
A reptile: Snake, specifically a Cobra
A rodent or lagomorph: Pika
An ungulate: Orca, I guess recent studies prove whales are Ungulates

Optional: Try picking (at least) 3 of these choices and sketch them out, keeping your character recognizable. Then you can see what they look like as another species that you may not have considered before. The results may be surprising.

1: Canine
2: Cheetah
3: Snake

I'll try this later...