Cleta Mitchell filed the complaint with the Office of Congressional Ethics (OCE)
No one named Slaughter serves on the OCE Board.
http://oce.house.gov/about.html
However, Congressman Trey Gowdy (R-SC), is a member of the House Ethics Committee (HEC). The HEC would take up the matter of any referral made by the OCE.
http://ethics.house.gov/about/committee-members