Pronouns and the majority of frequently used words in English generally contain gender identifiers. However, all of these pronouns are not binary. Some are even singular like for example – they. The singular pronoun 'they' is gender neutral and has been even extensively adopted by many famous American celebrities like Demi Lovato, Sam Smith over the years. People in America are now proudly mentioning their Linkedin profiles with pronouns like they/them, ze/zir and ze/hir. Language has played a significant part in the tiny yet significant progress the world has achieved towards inclusion.
Here is a detailed explanation of these pronouns that will help you to help you in making a decision of which pronoun you should use.