A 42-year-old woman is evaluated during an annual physical examination. She feels well. She has no pertinent personal or family medical history, and she takes no medications.

On physical examination, vital signs are normal. Palpation of the thyroid reveals a possible nodule in the right lobe that is not mobile with swallowing. The remainder of the gland is unremarkable, and there is no palpable cervical lymphadenopathy. Other physical examination findings are normal.

Laboratory studies reveal a serum thyroid-stimulating hormone level of 1.7 µU/mL (1.7 mU/L).

Ultrasound of the neck shows a right 1.5-cm hypoechoic nodule with internal microcalcifications.

Which of the following is the most appropriate next step in management?