Detective Chief Inspector Wayne Jones described the police investigation as "complex and dynamic" and appealed for witnesses to come forward.
Scores of police officers and a team of forensic investigators spent the day at the scene, on Dimsdale Road, near the junction with Hoggs Lane.
A force spokesman said a post-mortem examination is expected today, adding that specially trained officers were supporting the woman's relatives.
Matthew Connelly, a neighbour who saw the incident from his window, said medics spent 30 minutes trying to save the woman. He added: "It's not something you really want to wake up to. Waking up and looking out of your window to this, it's not nice."
The suspect, who is also known as Mohammed Saleem (Salim) Junior Oakes, was found in the garden of a house on Allens Farm Road, streets away from the scene.