A person whose license is revoked under this subchapter:
(1) based on a conviction or placement on deferred adjudication community supervision for an offense described by Section 108.052(2) or (3) may apply for reinstatement of the license with the appropriate licensing authority if the conviction or deferred adjudication is reversed, set aside, or vacated on appeal; or
(2) based on a requirement to register as a sex offender under Chapter 62, Code of Criminal Procedure, may apply for reinstatement of the license after the expiration of the period for which the person is required to register.