Elder Pride Act This bill includes an older individual's status as lesbian, gay, bisexual, or transgender (LGBT) and an individual's human immunodeficiency virus (HIV) status within the scope of greatest social needs for purposes of certain grants and services and makes other changes to the functions of the Administration on Aging, certain grant programs, and other activities concerning older LGBT individuals. Under current law, certain programs and services for older Americans must target those with the greatest economic and social needs. Specifically, the bill establishes the Office of Inclusivity and Sexual Health within the administration to support services for older LGBT individuals. It also establishes a program for states, tribes, and others to provide education and resources for sexual health and other services for older LGBT individuals in rural areas.