I've heard of 'ze' as a gender-neutral pronoun, but I've never really seen it used. How would you substitute 'ze' in that sentence: "Pat does not discuss their gender"?
“Ze” (like “they”) is a subject pronoun, it has been suggested with various object pronouns (like “them”), possessive determiners (like “their”) and possessive pronouns (like “theirs”), including at least these patterns: ze/hir/hir/hirs, ze/mer/zer/zers, ze/zir/zir/zirs; ze/zem/zes/zes.
So, the “their” could change to any of “hir”, “mer”, “zir”, or “zes”, depending on which “ze” pattern was used.
So, the “their” could change to any of “hir”, “mer”, “zir”, or “zes”, depending on which “ze” pattern was used.