The San Francisco Chronicle reported Monday that District Attorney George Gascon doesn't think the nature of 56-year-old Lucinda Moyers' prior offenses calls for a three-strikes prosecution.
Records show Moyers has been convicted of four burglaries since 1990.
Authorities say she broke into Trebek's room at a downtown San Francisco hotel July 26 and stole a bracelet, purse and wallet with $661 in cash.
The Jeopardy host says he tore his Achilles tendon as he tried to chase Moyers.
Moyers will still be charged with first-degree burglary and could get 30 years if convicted.