According to it's Latin root, incuba(e) means to lie upon - if taken to it's extreme, a creature of this description is purely sexually dominant.
This one's tongue is ribbed, he has a sheathed front cock, and he has a soft long cock-tail, along with an extra cock-tentacle that comes out of his 'ass' (because there's no way he'll let you inside - that's just how he likes things :3). Ass in quotes because it's not quite akin to human anatomy, as he is a monster ;3
This is a monster whose affinity lies with sexual ecstasy - this specific one is Agni, a messenger of the god of sex, Strato.