Forty-eight passengers and 20 crew are on the ship, which was chartered to follow in the footsteps of Antarctic explorer and scientist Sir Douglas Mawson.
Dr Wilson, chair of the Blue Penguin Trust, said the stoppage might have been a blessing in disguise.
"Frankly, I was a bit pleased to have a day off. If we had been moving yesterday [Christmas Day], I would be up and down the bridge every hour [conducting bird observations].
"Instead, I could relax and enjoy Christmas with the rest of the crew."
The ship was due to return to Bluff early in the New Year, but those plans were "up in the air", Dr Wilson said.
The other New Zealanders on board are University of Auckland doctoral student Colin Tan, historians John and Barbara Tucker, and two chefs.
A Chinese registered ice-breaker - the "Snow Dragon" - was on its way to help and should reach the trapped ship by tomorrow morning at the latest.