Apogender

 is a gender identity in which one feels not only genderless, but separate from the entire concept of gender.

Etymology
Comes from the Greek prefix apo, meaning away from, separate, without, or lacking.

Definitions

 * apogender - greek prefix apo, meaing away from, separate, at the farthest point; a subset of agender in which you feel not only genderless but entirely removed from the concept of gender- queerspike, 2014