They can't sue the nurse. They can sue the hospital as the nurse is an employee but not the nurse personally. Doctors yes as they are not employed by the hospital but not nurses.
Typically, nurses, medical technicians, and paramedics are hospital employees. As long as the employee was doing something job related when he or she injured the patient, the patient can sue the hospital. For example, if a paramedic employed by the hospital injects the wrong solution into the patient on the way to the hospital, particularly if the medical situation is not life threatening, then the hospital is liable for the paramedic's mistake.
However, if a doctor makes a mistake and injures a patient while working in the hospital, the hospital will not be liable for the doctor's mistake unless the doctor is an employee (which is unlikely -- see below).
However, if a doctor makes a mistake and injures a patient while working in the hospital, the hospital will not be liable for the doctor's mistake unless the doctor is an employee (which is unlikely -- see below).


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