A 38-year-old woman from Mumbai presents to the emergency department with a 3-day history of severe left-sided headache, fever (38.5°C), and progressive left eye swelling. On examination, she has proptosis, chemosis, and ophthalmoplegia affecting the left eye. Her left pupil is dilated and non-reactive. She has a pustule on the left upper eyelid. Blood culture is pending. What is the most likely diagnosis and which cranial nerve is NOT typically affected in this condition?