The person lives alone in the Vincent Residences, an apartment block in the CBD which is next to the Grand Millenium Hotel.
The hotel, which is a managed isolation facility, had a fire alarm evacuation on Monday night, but that evacuation is not likely to be the source of the infection because the woman became symptomatic that same day.
A Managed Isolation and Quarantine spokesperson earlier said guests were evacuated using strict infection control protocols including PPE, masks and physical distancing.
