Well sir, FEMA utilizes members of the Uniformed Services who are all largely medical specialists (doctors, nurses, etc)
these individual normally are stationed/assigned to any number of federal correctional facilities in their infirmaries, along with a large number of other locations across the country. When FEMA is activated, it pulls from this pool of individuals to provide staffing for emergency medical needs.
My SIL was accepted into the Uniformed Services a year before his graduation from nursing school. Spent his first assignment Terminal Island in San Pedro, CA (what a lovely place to be stationed) at the federal prison there and was deployed once with FEMA for hurricane relief.
He left the U.S. to get his Nurse Practitioner using the GI Bill, and was accepted to the Army Medical Service as a CPT after he finished. He was recently promoted to MAJ, and in his time with the Army has supported civilian and military hospitals with Covid staff relief.