Paerson swept the first three races at these world championships with victories in the super-G, downhill and combined. Her run was interrupted when she fell in the giant slalom Tuesday, and later said she felt sick.
Her focus now is on Friday's slalom.
"I've had an incredible championship so far, but it would be nice with another medal. Slalom has always been my event deep inside my heart," she said.
"The only thing that could stop me is if I have a fever."
Schild has been nearly perfect in slalom this season, winning five of the six races on the World Cup circuit.
The top American slalom skier is Resi Stiegler, who won a Europa Cup slalom before traveling to the world championships.
Julia Mancuso, who won silver in the combined, is skipping the slalom to go home and rest for the remainder of the World Cup season.
Teammate Lindsey Kildow, who took silver behind Paerson in super-G and downhill, likes the fairly flat slalom course. But, given the competition, concedes, "I'll have to come up with a miracle to do something there."
Women have not raced slalom on the World Cup circuit since Jan. 7, when Schild won in Kranjska Gora, Slovenia. Schild also won bronze behind Paerson's gold at the Turin Olympics.