Safe Food for Seniors Act of 2013 - Amends titles XVIII (Medicare) and XIX (Medicaid) of the Social Security Act, for a Medicare skilled nursing facility or a Medicaid nursing facility without a full-time qualified dietitian, to require its director of food services to be: (1) a Certified Dietary Manager meeting the requirements of the Certifying Board for Dietary Managers; (2) a Dietetic Technician, Registered meeting with the requirements published by the Commission on Dietetic Registration; or (3) an individual with equivalent military or academic qualifications.