He's currently the Illinois Treasurer. A former employee has filed a lawsuit accusing Rutherford of sexual harassment and forcing him to do campaign work on state time.
Rutherford's attorney says the matter should only be discussed in court.
"I want the public to know these are instructions from his lawyer, 100 percent. If it was up to Mr. Rutherford, he'd be out there talking about it," said Peter Andjelkovich, Rutherford's attorney.
Rutherford denies the allegations. He's one of four candidates vying for the Republican nomination.