Let Doctors Provide Reproductive Health Care Act This bill sets out protections for and establishes programs to support health care providers (and those who assist such providers) who offer reproductive health care services that are lawful in the state where the services are provided. Reproductive health care services refer to abortion services; contraceptive services; in vitro fertilization; or other reproductive care, education, and counseling that is provided (1) at a health care site or via telehealth, and (2) in a medically accurate manner. The bill prohibits individuals, entities, and states from preventing, restricting, or otherwise interfering with the provision of lawful reproductive health care services by health care providers. The Department of Justice, individuals, or providers may bring a lawsuit to enforce this bill, and states are not immune from suits for violations. Furthermore, states may not use federal funds to pursue legal cases or similar proceedings (e.g., adverse licensing proceedings) against health care providers, individuals, or entities that offer or assist with lawful reproductive health care services. Additionally, medical malpractice insurers may not deny coverage to or sue a health care provider because the provider offers or assists with lawful reproductive health care services. The bill also funds grants to assist health care providers who offer or refer for abortion services and face legal issues relating to their provision of reproductive health care services with legal matters and improving security.