Bishop Duane Swilley's sermon on "Relationships" emphasizes the importance of covenantal relationships by discussing biblical examples and the five levels of relationships. He stresses the need to prioritize our relationship with God above all else and encourages intentional nurturing of healthy relationships. Bishop Swilley calls for introspection, encourages discernment in relationships, and invites attendees to bless one another within the body of Christ. Overall, the sermon underscores the significance of genuine commitment and honor in our interactions with others.