nonbinary
Describing a person who does not identify as exclusively male or exclusively female, or describing such a gender identity. Even though I look like a woman, my experience of gender has always been nonbinary.
gender binary
The idea that there are only two distinct genders (male and female). Many people don't believe in the gender binary because they don't identify as solely male or female.
binary
Describing a person who identifies as exclusively male or exclusively female, or describing such a gender identity. I may be binary, but that doesn't stop me from supporting non-binary people.