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pansexuality

n. A sexual orientation characterized by the potential for aesthetic attraction, romantic love and/or sexual desire for people, regardless of their gender identity or biological sex.

Wikipedia
Pansexuality

Pansexuality, or omnisexuality, is the sexual attraction, romantic love, or emotional attraction toward people regardless of their sex or gender identity. Pansexual people may refer to themselves as gender-blind, asserting that gender and sex are insignificant or irrelevant in determining whether they will be sexually attracted to others.

Pansexuality may be considered a sexual orientation in its own right or a branch of bisexuality, to indicate an alternative sexual identity. Because pansexual people are open to relationships with people who do not identify as strictly men or women, and pansexuality therefore rejects the gender binary, the "notion of two genders and indeed of specific sexual orientations", it is often considered a more inclusive term than bisexual. To what extent the term bisexual is inclusive when compared to the term pansexual is debated within the LGBT community, especially the bisexual community.