Health authorities were still working to track down eight people who had stayed at the hotel and had since checked out.
Ms D’ath said they might have travelled interstate or overseas.
“There is a risk, it is a small risk but it is a risk.”
Queensland Health has vaccinated 6534 people with the Pfizer vaccine, including 1125 in the past 24 hours.
Two coronavirus vaccines were approved for use in Australia: the Pfizer vaccine, which was being administered to priority groups, and the AstraZeneca vaccine, expected to be used for most of the population.
Ms D’Ath said the state would begin to inoculate people with AstraZeneca “in the next week or two”.
“But the places and the dates of start-up, hopefully we will have more information on this later today,” she said.
“I can assure people that the Therapeutic Goods Administration have approved both of these vaccines,” Ms D’Ath said.
“The woman in question did have a history of anaphylactic reactions,” she said.
Lydia Lynch is Queensland political reporter for the Brisbane Times