I think I did this drawing more for the joke name than the character itself.
This was made with the "Liquify" tool in my photo manipulatin' program.
1st I drew an aqua-blue colored ball and shaded it with the airbrush tool.
Then I used the Liquify filter in my photo-manipulatin' program. With that you can squish and squoosh and stretch it into any shape you desire, just like clay.

Don't forget to save a copy of your original ball shape on another layer beforehand so you can add new pieces to your creation. His body was 1 piece, the feathers were separate pieces, his legs and toes were separate pieces, and his beak was a separate piece. I changed the hue of the beak to make it orange, and added nose holes, but it's mostly just a smashed up ball shape. Same for the legs, I used the Hue adjustment to change their color after I got them squeezed into the shapes I wanted.
The cheeks, head and eyeballs were all separate pieces. To make pieces blend smoothly together (like the cheeks into the head) I feathered the edges with the eraser tool so they were fuzzy.
I'll try to make a tutorial but it seems so simple and intuitive I don't know if anyone would need it. If you can squash a ball of clay then you can do this. Give it a try!