Nazire Koreli has not been seen since September last year, but was only reported missing to the police on February 28.
The 54-year-old is described by police of slim build with light brown hair and olive skin.
On March 10, a man in his 50s was arrested on suspicion of murder in connection with her disappearance.
He remains in police custody.
Detective Chief Inspector Wayne Jolley of Specialist Crime South said: “Since receiving this report our officers have made multiple enquiries to locate Nazire.
“We are keeping an open mind and this is currently being managed as a missing person investigation.
“Officers have arrested a man in connection with Nazire’s disappearance who remains in custody.
“Nazire had many friends and acquaintances in the Bexley area, so we are particularly interested in hearing from anyone who may have seen her from September 2024 to March this year.”
Anyone with information is asked to call police on 101 or post @MetCC ref CAD 8315 of 5 March.
To remain 100% anonymous contact the independent charity Crimestoppers on 0800 555 111.