A&E has since yanked his show "Dog the Bounty Hunter" from its schedule and suspended production, pending an investigation.
Shinnery said she doesn't accept Chapman's apology.
"I think Duane's apology was pathetic because it was not directed toward us. He didn't personally call Tucker or me to apologize. His attorney, Brook Hart, did. So, I personally don't accept it," Shinnery told WITV-TV in Honolulu.