Shane Simmonds, 38 of Parbury Road, SE23 appeared in custody at Bromley Magistrates’ Court on Thursday, 4 January charged with murder.
He has also been charged with two counts of rape about a separate female.
He was remanded in custody to attend the Old Bailey on Monday, 8 January.
This follows an incident where a man attended a south London police station in the early hours of Wednesday, 3 January claiming to have harmed a woman at an address on Parbury Road.
[data-ps-embed-type=slideshow] > iframe {position: absolute;top: 0;left: 0;} _psEmbed(“https:///uknip.photoshelter.com”);Officers attended and found the body of a 32-year-old woman. While formal identification awaits, we can confirm the deceased is Tia Simmonds who lived at the address.
Tia’s family continue to be supported by specially trained officers.
A special post-mortem examination is due to be held at Greenwich Mortuary on Friday, 5 January.
Detective Chief Inspector Matt Webb, from the Met’s Specialist Crime Command, said: “As I have previously stated, we are not looking for anyone else in connection with this murder. This is a truly tragic incident and our thoughts remain with Tia’s family and friends at this unimaginably difficult time.”