Workers in the isolation unit seem attuned to how their co-workers are viewing them. Some people who work in that unit are trying not to mingle with those who do not, several employees said. Even though the hospital administration has not explicitly ordered Ebola workers to stay away from others, employees said, the word has gone out through informal channels that it is better to lower the risk, and the anxiety quotient, of exposing other employees. Some nurses asked for arrangements to be made for them to sleep over at the hospital out of fears of passing the virus to their relatives and friends.

Even without the stigma, the work is both physically and psychologically taxing, and the dangers of burnout are high. Nurses have been going to group therapy at the hospital looking for support, and nurses from other public hospitals have been brought in for reinforcement. Some critical care patients have been transferred to Bellevue’s affiliated hospital, NYU Langone Medical Center, to free intensive care staff to treat Dr. Spencer, officials said.

One Bellevue health care worker said that nurses who had not completed their Ebola training were asked on Friday to relieve the nurse taking care of Dr. Spencer’s fiancée, Morgan Dixon. At first they refused, the worker said. Then one “gowned up” and was relieved to find the work consisted of making sure Ms. Dixon’s temperature was taken and entered into a log. The worker and other Bellevue employees quoted spoke on the condition of anonymity because they did not have permission to discuss hospital matters.

Ms. Dixon, who has shown no symptoms, has since been discharged to home quarantine in the Hamilton Heights apartment she shares with Dr. Spencer.

Ana Marengo, a spokeswoman for Bellevue, said on Tuesday that everyone who worked with Dr. Spencer and Ms. Dixon had been fully trained.