What is the ruling on the word "divorced" (تطلق) that I uttered in commentary on a dialogue in a movie that mocks our association, and does anything take effect by it, knowing that I am married to one of its members and do not intend to divorce her?

Your statement is considered idle talk and does not result in a divorce, because you did not intend it to relate to the marital bond. Rather, you intended it as a narration of someone else's statement, or you believe that someone else intends it. Divorce has pillars: eligibility, intention, and the place of the utterance. Both the utterance and its meaning must be intended, so as to exclude merely narrating someone else's divorce, or a jurist's hypothetical scenario, or calling out "Taliq" to someone whose name is Taliq. You should disregard this matter because it falls under the category of obsessive whisperings (waswas).