The incident happened at an address in Russia Lane at 9pm on Thursday, August 14.
The woman was found with a serious head injury and pronounced dead at the scene.
Her next-of-kin have been informed and are being supported by specialist officers.
A post-mortem examination is set to take place soon.
A 45-year-old man, who was known to the victim, was arrested and remains in custody.
Detective Chief Superintendent Brittany Clarke, who leads the Central East Command Unit, said: “Our team of officers and forensic specialists are working at pace to establish the full circumstances that led to this woman’s tragic death.
“This is believed to be an isolated incident, with no wider risk to the general public.
“However, residents can expect to see an increased police presence in the area over the coming days.
“If you have any information, if you saw or heard anything suspicious in the area in the hours leading up to 9pm last night, please contact us to help with our enquiries.”
If you have any information, call police on 101 quoting the reference CAD 7726/14AUG.
Information can also be provided anonymously to the independent charity Crimestoppers on 0800 555 111 or by visiting the website.