Marlon Brown was on the receiving end of Murray's scoring strike for the Bulldogs (9-2, 7-1 SEC), who have clinched a spot in next month's SEC Championship Game.
Murray finished 16-of-29 through the air for 162 yards, one touchdown and an interception while Brandon Harton rushed 23 times for 101 yards.
Bulldogs running back Isaiah Crowell, however, left the game in the first quarter after hurting his ankle.
The Wildcats (4-7, 1-6) were led by Maxwell Smith, who completed 17-of-34 passes for 133 yards, one touchdown and two interceptions.
Celebrity Couples of 2014 [PHOTOS]