Reading the article I guess they have pre-identified hospital near by to treat anyone who becomes seriously ill. Maybe that hospital is nearby that location.
The identified hospitals wouldn’t be in the immediate are as Anniston has a population of around 24,000 and several thousand more in surrounding towns. Any large, specialized hospitals would have to be in Birmingham or Atlanta, or other larger cities.
I looked at the FEMA facility on Google Earth and it is located at former Fort McClellan, an Army base that was closed during the big base closings around 1999. So the facility is on a large former Army base that does have many buildings and a lot of area that’s probably underutilized.