He said it would be challenging when Queenstown got its first confirmed case, but contingency plans were in place, including an area set aside at Lakes District Hospital for a flu clinic.
Public Health South medical officer of health Derek Bell and Mr Geddes had held meetings with retailers, schools, tourism operators and accommodation providers in Queenstown this week.
Mr Geddes said he was confident Queenstown would be able to keep operating as a premier winter holiday destination when the illness arrived.
Prime Minister John Key said on Monday the tourism industry was being hurt by swine flu as travellers in some countries put holidays on hold.
However, Mr Geddes said the arrival of swine flu would not be "Armageddon" but "business as usual" as long as businesses had good contingency plans in place.
Dr Bell said swine flu was rapidly developing in New Zealand with over 300 confirmed cases.
He said confirmed cases were probably the tip of the iceberg, with widespread community transmission in Auckland, Wellington and Christchurch.
While there were no confirmed cases in Otago and Southland, he expected it to arrive sooner rather than later in Queenstown, given the influx of tourists over winter.
The Government had this week switched from containing to managing the pandemic.
Dr Bell said his team of health nurses would stop asking international arrivals at Queenstown Airport to fill out locator cards.
The team would be moving into the main area of the airport to give information on where to go and what to do for tourists who had severe flu-like symptoms while in town.
A regional 0800 number was being set up to field calls from people showing severe symptoms and who had underlying health problems.
Dr Bell said those with mild to moderate symptoms should stay at home in voluntary isolation and look after themselves with common flu remedies.
Most people would not need medical attention or Tamiflu.
The Queenstown Medical Centre had put up signs advising people to avoid coming into the practice if they suspected they had swine flu, but to stay in isolation instead.
He said the New Zealand stockpile of Tamiflu was at risk of running out and should be taken "prudently".
If general practitioners became stretched, a flu clinic could be set up within 24 hours at Lakes District Hospital at Frankton, he said.
Visitors and migrant workers without private transport would be ferried to and from the clinic.
Hostels should move infected people out of dormitories and into private rooms, he said.
Queenstown Winter Festival organiser Sally Finerman said people with flu-like symptoms should stay away from events.