Tackle this by remembering that the body has two paired exceptions to the usual artery-equals-oxygenated rule: the pulmonary circulation and, before birth, the umbilical circulation. The question is asking which listed vessel carries oxygen-rich rather than oxygen-poor blood.
Run through the choices. The pulmonary artery is one of the exceptions: it carries deoxygenated blood from the right ventricle toward the lungs. The right heart collects deoxygenated systemic blood returning through the venae cavae, so it too holds deoxygenated blood. The umbilical arteries carry deoxygenated, waste-laden fetal blood out to the placenta for gas exchange.
That leaves the umbilical vein. After the placenta oxygenates the blood, the umbilical vein is the conduit that brings this oxygen-rich blood back into the fetus. From there it passes through the ductus venosus into the inferior vena cava and onward to the right atrium, where the foramen ovale directs the well-oxygenated stream toward the head and heart.
So the single vessel free of deoxygenated blood is the umbilical vein.
\[\boxed{\text{Umbilical vein}}\]