Step 1: List the contents of each diaphragmatic aperture by vertebral level. The caval opening at T8 transmits the IVC and right phrenic; the oesophageal hiatus at T10 transmits the oesophagus and vagal trunks; the aortic hiatus at T12 transmits the midline great vessel plus lymph and venous channels. Step 2: At T12 the trio passing through is the aorta, the thoracic duct, and the azygos vein. That accounts for three of the four options as structures that DO pass through. Step 3: The vagus, by contrast, hugs the oesophagus as anterior and posterior vagal trunks and enters the abdomen through the T10 oesophageal hiatus. It never traverses the aortic hiatus. Step 4: The question asks for the exception, so the vagus is the structure that does not pass through the aortic opening. \[\boxed{\text{Vagus}}\]