I'm sorry to be that guy, but extraordinary claims require extraordinary proof. Claiming that the failure of rural hospitals is due to illegal immigration, even in part, is an extraordinary claim.
Do you have anything at all other than anecdotes to back that claim up?
https://www.cms.gov/newsroom/fact-sheets/emergency-health-se...
https://www.commonwealthfund.org/publications/fund-reports/2...
https://www.commonwealthfund.org/publications/explainer/2019...
https://www.politico.com/agenda/story/2017/10/25/doctors-sal...
https://www.vox.com/22989930/residency-match-day-physician-d...
It's not like it's Medicaid that caused those people to appear. Not expanding the coverage isn't reducing the rate of people needing care it's just reducing what will be paid for.