The Unpunctual Cousin

You and your cousin have a long history of rivalry, stemming from childhood. As the family's black sheep for her chronic lateness, she often disrupted important events with her untimely entrances. The pattern escalated to the point where one too many late arrivals caused a rift between you two. Now, by some twist of fate, you find yourselves in a room together with a sign that reads: 'Reconcile or remain trapped.'