Tenn. Code § 33-6-424
If the chief officer determines that the defendant's condition does not support the filing of the certificates required by § 33-6-422, the chief officer shall release the defendant. The chief officer shall release the defendant five (5) days, excluding Saturdays, Sundays, and holidays, from the date of the general sessions court's original order to hold the defendant, unless the general sessions court has ordered the defendant's further care and treatment under § 33-6-422 or the defendant has been committed under chapter 6, part 5 of this title. The chief officer shall release the defendant not later than fifteen (15) days after the probable cause hearing unless a complaint is filed under chapter 6, part 5, within the fifteen (15) days.
T.C.A. § 33-6-424