Step 1: Track the path of iron through a duodenal cell. It must first be carried in across the luminal surface, then later be sent out across the blood-facing surface, and two different proteins handle these two directions.
Step 2: The entry step at the apical brush border uses the Divalent Metal Transporter 1, $DMT1$, which pulls ferrous iron into the enterocyte and can also handle zinc, copper, cobalt and manganese.
Step 3: The exit step at the basolateral membrane is the job of ferroportin 1, so ferroportin is about export, not uptake, and is the classic trap option here.
Step 4: The remaining choices fail outright: there is no meaningful $DMT2$ iron transporter, and $GLUT1$ is a glucose carrier. Hence iron entry into the enterocyte is via $DMT1$.
\[\boxed{\text{DMT1}}\]