The first thing I would worry about is that they would bring Ebola home and elsewhere around the world. Hope they'll do their job well.
If they take the proper precautions everything should be fine.
"This is a very low-risk situation for the general U.S. population," Diane Griffin, M.D., professor and chair in molecular microbiology and immunology at Johns Hopkins University, told Yahoo Health. "Emory is a great place for [the patient] to go. They are set up well to handle this type of situation."
Ebola is not spread like the cold or the flu, she added. You could be sitting next to someone who is infected and still not contract the virus. “It’s transmitted by very close contact with people who are sick or with their bodily secretions, such as blood, urine, and feces,” said Griffin. “It isn’t spread through the air like most other viruses. It’s usually contracted by people who are taking care of a sick person – either a health care worker in a medical setting or by someone taking care of a sick family member at home.”