They say that the dead woman is 42-year-old Tania Hurley from Guernsey.
Tania collapsed in the street outside the hotel at around 11.30 am on Sunday morning.
The night before, a rave event called Inn On The Park “The Final Chapter” had taken place at the hotel.
A statement from the police confirmed the identity of the woman, and expressed sympathy to Tania’s family.
They said: “Following the death of a 42 year old woman on Sunday 11th October, police can confirm that they are investigating the sudden death, but believe there to be no suspicious circumstances surrounding it and a report will be submitted to the Viscounts Office in due course in the normal fashion.
“The woman who was from Guernsey has been named as Tania Hurley.
“She died shortly before 1pm in the General Hospital. Her family has been informed and we offer our condolences to them.”