Final answer:
The laboratory finding that supports the diagnosis of myxedema in an elderly female patient with altered mental status, hypothermia, and clinical signs of heart failure is elevated thyroid-stimulating hormone (TSH).
Step-by-step explanation:
The laboratory finding that supports the diagnosis of myxedema in an elderly female patient with altered mental status, hypothermia, and clinical signs of heart failure is elevated thyroid-stimulating hormone (TSH). Myxedema is a severe form of hypothyroidism characterized by a low level of thyroid hormones (T3 and T4) and elevated TSH levels. TSH stimulates the thyroid gland to produce thyroid hormones, so elevated TSH indicates that the body is trying to compensate for low thyroid hormone levels. The other options, elevated adrenocorticotropic hormone (ACTH) and elevated cortisol levels, are not specific to myxedema.