I recall a time I presented a topic to a firm's practice group when the firm administrator was present. He sat off to the side where he could gain an advantage of being in the room while also witnessing the participation of others during his scrutiny of me. He is a conscientious rule follower, especially one desiring the meeting facilitator conduct efficient meetings. So he was particularly interested in discovering how I would hold true to my own agenda.
As the meeting facilitator it behooves me to demonstrate both flexibility and structure so everyone's time is well-spent. Especially the introvert's.