Final answer:
The nurse should check the nasal drainage for glucose content to determine if it is cerebrospinal fluid (CSF), which can help identify a potential skull fracture following a head injury.
Step-by-step explanation:
The nurse should check the drainage for glucose content. Clear nasal drainage following a head injury may be a sign of cerebrospinal fluid (CSF) leak, which could indicate a skull fracture. Testing the fluid for the presence of glucose can help differentiate between CSF and regular nasal secretions, as CSF typically has a higher glucose content. Options such as having the patient blow the nose could potentially worsen the situation if it's indeed a CSF leak. Educating the patient that rhinorrhea is expected may be misleading, and obtaining a specimen for culture is not immediately necessary unless infection is suspected. The priority is to correctly identify the nature of the nasal drainage.