What condition is most likely to require an appendectomy?

Appendicitis is the condition most likely to require an appendectomy because it specifically involves the inflammation of the appendix, which often leads to severe abdominal pain, fever, and other gastrointestinal symptoms. When appendicitis is diagnosed, especially if it presents with complications such as an abscess or perforation, surgical removal of the appendix becomes the standard treatment to prevent further complications and manage the patient's condition effectively.

In contrast, cholecystitis involves inflammation of the gallbladder and typically requires a cholecystectomy, a different surgical procedure. A hernia, which is the protrusion of an organ through an abnormal opening, may require surgical repair, but does not usually necessitate an appendectomy. Diverticulitis is characterized by inflammation or infection of diverticula in the colon, and while it may require surgical intervention in severe cases, it does not involve the appendix. Thus, given the context of the question and the nature of the conditions, appendectomy is specifically indicated for appendicitis.