Trying to beat Georgia (18-6, 7-3 SEC) for the second time this year, Kentucky (14-9, 3-5) led most of the second half and as late as with 1:10 remaining after Sara Potts' follow-up of a missed shot.
But Humphrey drew a foul on Georgia's next possession, and hit two free throws with 54.3 seconds left to put the Lady Dogs ahead for good at 65-64.
Katie Frye of Georgia rebounded Samantha Mahoney's miss with 40 seconds to play, and Humphrey drove for a layup with 21.8 seconds left, putting Georgia up three.
Kentucky did not call a timeout, and Potts missed a 3-pointer with 11 seconds to go. Kentucky's Jennifer Humphrey missed a putback, and Tasha Humphrey grabbed the rebound with 6.2 seconds left, icing the game and drawing a foul. She hit the first free throw.
Potts led Kentucky with 18 points. Mahoney added 11.
Georgia got 15 points from Sherill Baker.
The Lady Dogs shot poorly throughout the game, hitting 37 percent from the field and only 22 percent from 3-point range. Kentucky also won the rebounding battle, 45-36.
Defense dominated the first half, which ended with the Lady Dogs ahead 30-28.
Kentucky jumped ahead in the second half. Angela Phillips' first of three 3-pointers put the Wildcats ahead 42-34 with 14:53 to play. Then after Georgia tied the game at 50-50 with 8:10 to go, Phillips' third 3 put Kentucky up 58-52 with 4:44 to go.
Potts moved into ninth on the Kentucky career scoring list, passing Kristi Cushenberry at 1,358. Potts now has 1,362 points.
Kendrick moved to No. 8 on the Georgia career assists list. She finished the game with 399, moving ahead of Coco Miller at 396.