Final answer:
Purulent and malodorous discharge from the nose supports the nurse's conclusion of a nasal infection, as pus and odor are common indicators of bacterial infections.
Step-by-step explanation:
A nurse who inspects a client's nose and concludes there is an infection would find purulent and malodorous discharge to be a supporting symptom. Purulent discharge indicates the presence of pus, which is common in bacterial infections and often has an offensive smell. Such clinical observations are key indicators of infection, as reflected in several clinical scenarios where similar discharge is associated with bacterial infections ranging from wound infections to sexually transmitted infections. Observing the characteristics of discharge can guide healthcare professionals in making an initial diagnosis and determining the appropriate treatment, such as prescribing antibiotics.