News media reported the suspect was in court this morning at the Fulton County Jail.
The victim was found shot in the head Sunday but had been killed Thursday, police said.
The following is a statement from East Point police:
"On Sunday July 7, East Point police officer Cpl. Crystal Parker was found deceased in her home at 2372 Creel Road. Parker died of an apparent gunshot wound. On July 9, the Fulton County Police assisted by the U.S. Marshall’s Office arrested 30-year-old Danielle Parker. Danielle Parker at some point was a former roommate of Cpl. Parker. Danielle Parker was arrested at her residence without incident. She has been charged with murder and is being detained at the Fulton County Jail without bond."
Cpl. Parker was a seven-year veteran of the force and its 2012 officer of the year.
Officials said she was off duty at the time and had been on vacation.