Step 1: Recall the eyelid glands. The gland of Moll is a modified apocrine sweat gland clustered around the bases of the eyelashes at the lid margin.
Step 2: Its secretion is not discharged onto the lid skin. The duct empties into the eyelash hair follicle, and at times into the duct of the nearby Zeis gland.
Step 3: Compare this with neighbours - Meibomian glands sit in the tarsal plate and open at the lid margin, and Zeis glands are sebaceous glands opening into lash follicles. Moll therefore drains into the lash follicle.
Step 4: Choices of skin, tarsal plate and Meibomian ducts each describe a different gland, so they are excluded.
\[\boxed{\text{Hair follicle (of the eyelash)}}\]