Tenn. Code Ann. § 63-29-105

When a council member is absent from three (3) consecutive meetings without excuse, that member shall be removed from office, and a new member shall be appointed by the commissioner of health. An absence shall be deemed excused if caused by a health problem or condition verified in writing by a physician, or by an accident or similar unforeseeable tragedy or event prior to or at the time of the next council meeting.