Graves' disease is an autoimmune condition in which the patient develops autoantibodies that stimulate the thyroid gland, leading to thyrotoxicosis. We report the case of a 29-year-old female who presented one month postpartum with typical symptoms and signs of thyrotoxicosis. Biochemical and radiological investigations confirmed thyrotoxicosis due to Graves' disease. She received methimazole (MMI) treatment, leading to an allergic reaction in the form of a generalized rash on the body precluding its use. We later started the treatment with propylthiouracil, which she initially tolerated well. During her treatment, she became pregnant and delivered a baby girl by cesarean section at 37 weeks of gestation. The baby developed neonatal thyrotoxicosis due to the transplacental transmission of maternal thyrotropin receptor antibodies. Thyrotoxicosis was short-lived, without consequences, and treated with antithyroid drugs. Three months after delivery, thyroid hormone levels rose considerably, requiring higher doses of propylthiouracil, which resulted in severe hepatic dysfunction, and therefore we stopped the therapy. We admitted her to the hospital for rapid correction of thyroid hormones using steroids, supersaturated potassium iodide, and cholestyramine before she underwent a total thyroidectomy. Our case highlights the challenges the patients and clinicians can face while managing Graves' disease. We discuss the role of a multidisciplinary team approach to care and the options available for treatment in such difficult situations.