Tennessee Code Title 40. Criminal Procedure § 40-30-207

If at any time during the representation of two (2) or more indigent persons, the post-conviction defender determines that the interests of those persons are so adverse or hostile that they cannot all be counseled by the post-conviction defender or the post-conviction defender's staff without conflict of interest, the court in which the proceeding is pending shall, upon application therefor by the post-conviction defender, appoint one (1) or more qualified attorneys to represent the persons.