Final answer:
The most appropriate management for a 35-year-old female with recurrent axillary abscesses is weight loss and lifestyle modification.
Step-by-step explanation:
The most appropriate management for a moderately obese 35-year-old female with a history of well-controlled type 2 diabetes and recurrent abscesses in both axillae is B) Weight loss and lifestyle modification. Obesity is a risk factor for developing recurring abscesses, and weight loss can help reduce the frequency and severity of these abscesses. Additionally, lifestyle modifications such as maintaining good hygiene and avoiding shaving the axillae can also help prevent abscess formation.