Gender non-conforming is acceptable in broad references as a term for people who do not conform to gender expectations. (Acceptable use: The group is providing scholarships for gender-nonconforming students.)
Nonbinary and genderqueer are terms used by some people who experience their gender identity as falling outside the categories of man and woman. They are not synonyms for transgender and should only be used if someone self-identifies as nonbinary or genderqueer.
Explain the terms in a story if the context doesn’t make it clear.
Similar guidance goes for other terms like bigender (people who identify as a combination of two genders) and agender (people who identify as having no gender).
(Source: AP Stylebook, GLAAD Media Reference Guide)