Final answer:
The 75-year-old woman is likely eligible for Medicaid and can purchase a Medicare Advantage plan for additional coverage.
Step-by-step explanation:
The government program that a 75-year-old woman with a low income, not affiliated with the military, is likely eligible for if she needs frequent home visits from a nurse for ongoing healthcare services is Medicaid.
Medicaid provides health services to people with very low incomes who meet other eligibility requirements. Additionally, the 75-year-old woman can purchase a Medicare Advantage plan for additional coverage.