Left recurrent laryngeal-the tracheobronchial nodes are at the tracheal bifurcation. there are three groups of these nodes: right superior, left superior, and inferior. the aorta loops over the left bronchus, near the tracheal bifurcation. so, it is reasonable to assume that any nerve that is closely associated with the aorta might be irritated if the tracheobronchial lymph nodes became inflamed. this means that the correct answer is the left recurrent laryngeal nerve, which loops under the aorta to ascend to the larynx.
the right and left phrenic nerves are lateral and would not be irritated by the inflammation. the right recurrent laryngeal nerve loops around the right subclavian artery and is not close enough to this area. finally, the right vagus is not closely associated with the aorta.