Elder Pride Act of 2019 This bill establishes the Office of Older LGBT Policy and a related rural outreach grant program. The office shall coordinate research and services for older lesbian, gay, bisexual, and transgender (LGBT) individuals. The office shall oversee a program, and may award grants, for addressing the needs of older LGBT individuals in rural areas. Some of the approved activities for the grant program include education and outreach, reducing isolation and improving access to care, and expanding the use of nondiscrimination policies. The office shall be a part of the Administration on Aging.