You should investigate. From a quick Google search for my city, I see psychiatrists and psychologists who accept Medicaid. Some organizations, such as the Kaiser Family Foundation, also offer psychological testing services for people on Medicaid in certain states.

Call the mental health services number for your state (https://www.medicaid.gov/about-us/co...tate-page.html). They should be able to tell you more about benefits and if there are Medicaid-eligible mental health providers in your area.