The purpose of this research study is to determine if treatment with Elagolix will improve body weight, waist circumference, muscle strength, cortisol secretion, blood glucose, cholesterol, and bone quality as well as mood and quality of life in a female patient with mild hypercortisolism from adrenal overproduction of cortisol. Many people with adrenal nodules, or non-cancerous growths in the adrenal glands, have mildly elevated cortisol levels. Cortisol is a hormone normally made by the adrenal glands. It is increasingly being recognized that even mild elevations in cortisol levels can negatively impact blood glucose levels, serum cholesterol levels, weight and other metabolic parameters. This can lead to an increase in risk for cardiovascular disease. The study team is trying to determine if the medication Elagolix might be an effective treatment for post-menopausal females with mild hypercortisolism. Elagolix is a medication used to treat a medical condition called endometriosis by decreasing the body's production of sex hormones. Growth of adrenal adenomas is thought to be driven by such sex hormones. Therefore, by decreasing production of these hormones, the study team hopes to treat hypercortisolism caused by adrenal adenomas.