No more information on the woman was available Wednesday, Prunty said. Nor was the cause of death immediately known.
The ride was closed Wednesday, but reopened Thursday, a statement from the theme park said.
The $100 million ride, one of Disney World's most popular, was also closed in June after the death of a 4-year-old boy who passed out while aboard.
An autopsy concluded he died of a heart condition that a medical examiner said can cause sudden death in stressful situations.