In a motion filed Tuesday, the state said Owens had exhausted her three-tier appeals process after the U.S. Supreme Court last month denied her petition for a rehearing.
Owens was convicted in 1986 in Shelby County for the murder-for-hire of her husband. The 57-year-old was the first female to receive the death penalty in Tennessee.
She is accused of hiring Sidney Porterfield to kill her husband with a tire iron. Porterfield was also sentenced to death and is still on death row.