Caring For Our Women Veterans Act This bill establishes various reporting requirements for the Department of Veterans Affairs (VA) related to women veterans and health care. Specifically, the bill requires the VA to submit reports on (1) women veterans' use of health care from the VA; (2) use by the VA of general primary care clinics, separate but shared spaces, and women's health centers as models of providing health care to women veterans; and (3) the staffing of the VA related to the treatment of women.