My little Kari has been super interested in xenogenders recently, so I made this term specifically from them. They wanted a gender that was "like a monster but a nice and fuzzy monster. Not a meanie-beanie monster." So, I coined the term Fuzzymonstergender for them. It is related to Monstergender, but a more specific and static identity. The flag I made to go with it is based on a Minecraft OC I made many years ago called Fluzzy monster.
Note: We made the page before this blog post because we kinda forgot about the fact that this is necessary. Sorry (/gen)