Ebola isn't really a HEMS case, more a repatriation/transfer job - the HEMS medics I fly with wouldn't go near an Ebola patient without full body protective equipment, which they don't carry. There are organisations like HART (Hazardous Area Response Team) who have full protective gear not found on a typical HEMS aircraft who'd be called in if such a case were suspected.
As long as they don't shag her, drink her breast milk, share or come in contact with any other of her bodily fluids they'll be ok
Not quite that easy, sweat, saliva & mucus are all effective carriers of ebola and very hard to see, and are transferred directly by eye/mouth/nose contact. The virus can also live for days in bodily fluid outside the body, much longer than HIV outside the body. It would be completely impractical to disinfect the aircraft to the level required after carrying an ebola patient and take the aircraft out of service for too long.