Final answer:
The Varicella virus vaccine should not be administered to the child because it is a live vaccine and can be harmful to children with immune deficiency disorders.
Step-by-step explanation:
The nurse at an immunization clinic should be aware that a child with an immune deficiency disorder should not receive vaccines that contain live attenuated viruses. Among the vaccines listed, the Varicella virus vaccine is a live vaccine and should not be administered to a child with an immune deficiency as it could pose a significant health risk. The other vaccines mentioned, such as DTaP (Diphtheria and tetanus toxoids and acellular pertussis), Hib (Haemophilus influenzae type b), and the polio injection, are not live vaccines and are, in general, safe for children with immune deficiencies.