We don't have a "brandishing" law in TN.
39-13-102. Aggravated assault.
(a) (1) A person commits aggravated assault who:
(A) Intentionally or knowingly commits an assault as defined in § 39-13-101, and:
(i) Causes serious bodily injury to another;
(ii) Uses or displays a deadly weapon; or
This is why he was charged. He put her in fear of bodily injury (pursuant to 39-13-101) and displayed a weapon to accomplish it.