Openly lesbian South Carolina businesswoman Linda Ketner won't take on Republican Senator Jim DeMint in the fall, leaving the Senate race wide open for the incumbent.

Ketner announced Monday that she will not accept a petition nomination to appear on the fall ballot as a Democrat.

South Carolinians “deserve – and desperately need – better government,” Ketner said in an email to supporters, but then added that she doesn't have the resources needed to pull off a win.

Ketner asked for the drive to be stopped.

Former campaign staffers and supporters began collecting signatures on her behalf after Democrats nominated Alvin Greene, an unemployed political novice, in the state's June primary.

While investigators are looking into how Greene, who claims to be penniless, came up with the $10,440 primary ballot filing fee, the party has voted to uphold the primary results.

Ketner, whose father founded the Food Lion supermarkets, financially supported and organized a failed attempt to defeat a 2006 gay marriage ban. In 2008, she came close to unseating incumbent South Carolina Representative Henry Brown. Her campaign won the endorsement of the Gay & Lesbian Victory Fund, a group that supports openly gay elected officials.

The Human Rights Campaign (HRC), the nation's largest gay rights advocate, gives DeMint a zero for his support of LGBT rights.