In 2008, McConnell won re-election to a fifth term and became Kentucky's longest-serving senator. McConnell spent some $20 million on his last election, beating Democrat Bruce Lunsford, a wealthy Kentucky businessman, by 6 percentage points.
He has been a fierce critic of President Barack Obama and said early in Obama's first term that his top priority was to make sure the president wasn't re-elected.
Ashley Judd is a regular at University of Kentucky basketball games and the Kentucky Derby. She is married to three-time Indianapolis 500 winner Dario Franchitti and is a regular spectator at that race.
Polly Judd said her granddaughter enjoys traveling to races with her husband, and that serving in the Senate would make that difficult.
Polly Judd, mother of country music singer Naomi Judd, said she expects her granddaughter would be especially strong among college-age voters in Kentucky, a state that typically votes Republican in federal elections.
"She's a Hollywood liberal," Polly Judd said of her granddaughter. "It would be interesting to see what type of race she would run."