Gender neutral pronouns exist.

And you can't gender someone using a gender neutral pronoun. It's impossible. A gender neutral pronoun is the same thing as a non-gendering pronoun. That's why they/them is appropriate for people with neutral or mixed gender identities like agender, bigender, andogynous, and genderfluid people, provided the individual person prefers it. they/them is not a gender identity and stop saying it is to agender people. You're making them dysphoric.