Repealing Ineffective and Incomplete Abstinence-Only Program Funding Act of 2010 - Amends title V (Maternal and Child Health Services) of the Social Security Act to: (1) eliminate the abstinence-only education program; (2) rescind unobligated FY2010 program appropriations; and (3) reprogram such rescinded appropriations for the personal responsibility education program (PREP) for FY2011-FY2014.