Troy Aikman's Ex-Wife -- Punished for Boozy Arrest at Texas High School

Troy Aikman's ex-wife is getting off with a slap on the wrist after cops say she was drunkenly hanging out in a Texas high school parking lot back in August ... TMZ has learned.

TMZ broke the story ... Rhonda Aikman was a stumby, wobbly mess when cops found her in a car at a high school in Murphy, TX on August 27. Officers say they also found two water bottles filled with a liquid that smelled like booze inside the vehicle.

During the arrest, Rhonda tried to guilt cops into letting her off the hook by dropping her ex-husband's name -- "Do you know what this is gonna do to him? Troy?"

She was eventually charged with public intoxication.

Today, Rhonda -- whose marriage to Troy ended back in 2011 -- agreed to plead "no contest" to the charge in exchange for 30 days probation ... after which the underlying charge will be dismissed (presuming she keeps her nose clean).