He was on crutches later Wednesday when he hosted the National Geographic World Championship at Google headquarters.
San Francisco police Lt. Troy Dangerfield says hotel security apprehended the suspect and recovered some of Trebek's belongings.
Dangerfield says 56-year-old old Lucinda Moyers was arrested on suspicion of felony burglary and receiving stolen property.
She's scheduled to appear in court Thursday.
After his scheduled surgery Friday, Trebek is expected to be in a cast for six weeks.