Alex Trebek Burglary Suspect -- I'm a Prostitute, Not a Thief

The woman who allegedly stole a bunch of stuff from Alex Trebek's San Francisco hotel room last month is a prostitute, not a thief ... so says her lawyer.

The "Jeopardy" host claims the female suspect, 56-year-old Lucinda Moyers, broke into his hotel room and jacked $650 in cash, a bracelet and other items on July 26 ... and then he injured himself chasing her down the hallway.

But Moyers' lawyer, Mark Jacobs (not the designer) -- tells the San Francisco Examiner the woman was at the hotel to meet an unidentified john ... and did not break into Trebek's room.

Jacobs has not given specific details on how Trebek and Moyers crossed paths.