Dr. Bettina Freis, told "Power Lunch" that protocols were followed to the letter.
"Nothing went wrong in this case," said Freis, who is the head of the Ebola Task Force at Stony Brook Hospital, one of the eight appointed by Governor Andrew Cuomo as an Ebola treatment hospital.
"The case was handled very well. He self-identified. He was triaged appropriately and taken to a hospital that was prepared to treat him."
And on "Closing Bell," nurse Nancy Writebol, an Ebola survivor, added that, "To be out and around even though he had been in West Africa; he was not contagious. He was not being irresponsible. And as as soon as his temperature spiked he was responsible and contracted health care workers."
Dr. Freis went on to say there's no reason to think anyone else has been infected by the doctor's actions. "There is no evidence that you get Ebola simply by passing by someone who is symptomatic," she added.
Meanwhile, New York City Mayor Bill de Blasio said on Friday health officials are retracing all the steps taken by the doctor, who is in stable condition.
De Blasio added New Yorkers should not worry and not alter their daily routines.
Read MoreWall Street shrugs off Ebola worries