Earlier quoted context omitted.
I genuinely cannot figure out what "playing the pronoun game" means in this context.
Sorry - my bad for assuming the expression was commonly known. TL;DR: pronouns in a text exchange are easily confusing. In conversation, most people aren't actually understanding each sentence. Instead, we're mentally and subconsciously keeping a list of terms that we don't understand - usually pronouns - retroactively applying them as more clues come up to what they are. If you watch as an outsider to a short discus…
"Playing the pronoun game" is the act of concealing sexual orientation in conversation by not using a gender-specific pronoun for a partner or a lover, which would reveal the sexual orientation of the person speaking. Lesbian, gay and bisexual people (LGB) may employ the pronoun game when conversing with people to whom they have not "come out". In a situation in which revealing one's sexual orientation would have adverse consequences (such as the loss of a job), playing the pronoun game is seen to be a necessary act of concealment.