Office of Economic Self-Sufficiency Medicaid. Medicaid provides medical coverage to low-income individuals and families. The state and federal government share the cost of the Medicaid program. Medicaid services in Florida are administered by the Agency for Health Care Administration. Office of Economic Self-Sufficiency Medicaid Medicaid for Pregnant Women. A pregnant woman may qualify for Medicaid if her family’s countable income does not exceed income limits. For pregnant women who do not meet the citizenship requirements for Medicaid, see the information below about Emergency Medical Assistance for Non-Citizens.