Katie Quackenbush, 26, allegedly fired two shots as they argued near Music Row at 03:00 local time (08:00 GMT).
Police say Melton was disturbed by exhaust fumes and loud music coming from Quackenbush's Porsche while trying to sleep at 3 a.m., so he asked her to move the vehicle. Police said that Melton returned to where he was sleeping and Quackenbush got out of her vehicle with a gun and fired two shots at the homeless man. Quackenbush then allegedly fled the scene. "An argument ensued, with both parties yelling at each other".
Quackenbush's father, Texas attorney Jesse Quackenbush, defended his daughter after her arrest by claiming that the homeless man was threatening to kill her shortly before she made a decision to get out of the vehicle and fire her weapon at him.
Police say Quackenbush then got back into her auto and fled the scene.
Ms Quackenbush is set to appear in court on 6 October. "She had no intention of killing him".
He told police the suspect got back into her luxury auto and fled the scene.
Mr Quackenbush said his daughter fired two "warning shots".
"She didn't attempt and kill this person", Jesse Quackenbush said Monday night, a couple of hours after his little girl was captured on the charge.
But Melton again started to approach them, so Quackenbush warned him she had a weapon, her father explained.
After the man left, Katie Quackenbush escaped her auto to escort her companion to a vehicle stopped close by.
"He comes up to their window and begins shouting in their window different dangers, and something about turning their music down and that he couldn't rest", Jesse said.
He said his daughter told him there was no indication the man had been shot.
The women left, deciding to go to a restaurant and come back later to deliver the passenger to her vehicle.
When they restored, Quackenbush's companion's auto was encompassed by wrongdoing scene tape. "She had an eyewitness in the front seat".