Final answer:
Ciprodex otic drops are the most appropriate treatment for a patient with an inflamed external auditory canal consistent with otitis externa, likely due to Pseudomonas aeruginosa infection.
Step-by-step explanation:
The most appropriate treatment for an inflamed external auditory canal, where the tympanic membrane cannot be visualized and is likely due to otitis externa, is B. Ciprodex otic drops.
Otitis externa, commonly known as swimmer's ear, is an infection of the external ear canal that is often caused by Pseudomonas aeruginosa. This condition is frequently characterized by itching, redness, discomfort of the ear canal, and can progress to more severe symptoms like fever, pain, and swelling. Treatment typically involves the use of ear drops containing acetic acid, antibacterials, and/or steroids to reduce inflammation. Ciprodex otic drops contain a combination of a fluoroquinolone antibiotic (ciprofloxacin) which is effective against Pseudomonas species, and a corticosteroid (dexamethasone) to reduce inflammation, making them a suitable option for this patient's condition.