Theriomythic = animalistic Otherkin or Otherkin who experience therianthropic tendencies, but their kin-type is a non-human, non-Earth based creature.
(It's a loose definition and people will add in other words so it suits them more.)
Why the Term
There are people with experiences that are neither wholly Otherkin nor wholly Therian and people who don't feel at home in either community because their experiences are animalistic/therianthropic in nature, but their kin-type is of a non-Earth based animal. However, they don't necessarily fit in with the wider Otherkin community that has a tendency to put an emphasis on "higher thinking" creatures, past lives, etc. Nor do they necessarily fit in with the Therian community since many of the communities feel that you have to be an Earth-based creature to be able to fit in and some even believe that Otherkin can't have animalistic tendencies.
What do you think of the term theriomythic?
Personally, I don't mind it because of when it's broken down:
Therio = animal; beast
Mythic = having qualities suitable to myth (Merriam-Webster
For me, I take "mythic" to mean any non-Earth based creature such as dragons, demons, fae, entities that don't have names to their species that have qualities that aren't seen on this planet, etc. But that's just how my mind rolls. So, I have no problem with the term being used to describe me.
I have a kin-type that is animalistic in nature, but I don't necessarily fit in with the wider Otherkin community nature because I have experiences that are vastly different than what I've seen on different sites.