Final answer:
The nurse should document the condition as a 'hospital-acquired UTI', also known as a nosocomial infection.
Step-by-step explanation:
The nurse caring for a client who developed a urinary tract infection (UTI) while hospitalized should document this condition as a hospital-acquired UTI. This is also known as a nosocomial infection, which is a term for diseases that are contracted as a result of hospital procedures, such as surgery or catheterization. The documentation should accurately reflect that the UTI was acquired after the patient was admitted to the hospital, distinguishing it from infections that were present prior to hospitalization.