The incident occurred at a property in the Shore Road area, which police have been in attendance at since early this morning (Tuesday). The woman was in her 60s. A man in his 30s remains in police custody.
Ms McAllister said: “This was a horrifying incident and I want to express my deepest sympathies to the family and loved ones of the victim. The local community is in immense shock, but I have no doubt they will come together to support the family during what will be such a distressing time.
"In the midst of this distressing news, police need space to investigate the situation. I will be liaising with them on this matter in coming days.
“I want to thank the PSNI for their swift and professional response, and if anyone has any information, please pass it to police immediately.”