Rural Veterans Mental Health Care Improvement Act - Amends appropriations authorities for veterans' benefits to provide advanced appropriations for information technology relating to medical services, support, compliance, and facilities of the Veterans Health Administration (VHA).

Directs the Secretary of Veterans Affairs (VA) to include, as a component of VHA health-care personnel education and training programs, education and training of marriage and family therapists as well as licensed professional mental health counselors.

Amends the Caregivers and Veterans Omnibus Health Services Act of 2010 to require the Secretary, through VA medical centers, to provide mental health services, including outpatient care, to the immediate families of certain veterans returning from Operation Enduring Freedom or Operation Iraqi Freedom.

Requires the Secretary to report to Congress regarding telemedicine services (the use by a health care provider of telecommunications to assist in the diagnosis or treatment of a patient's medical condition) for veterans, including updates on VA teleconsultation and telemedicine initiatives, training, and partnerships with primary care providers.