Enhancing Nutrition Services to the Elderly and Disabled Act of 2013 - Amends the Food and Nutrition Act of 2008 (formerly known as the Food Stamp Act of 1977) to include as a "retail food store" under the supplemental nutrition assistance program (SNAP, formerly the food stamp program) a public or private nonprofit food purchasing and delivery service that: (1) serves individuals who are unable to shop for food and who are at least 60 years old or physically or mentally handicapped or otherwise disabled, and (2) notifies the participating household at the time of order that any delivery fee cannot be paid with SNAP benefits.