Answer:
The lines were addressed to Theseus, the Duke of Athens.
Explanation:
William Shakespeare's "Midsummer Night's Dream" is a comedy that portrays the events surrounding the marriage of Theseus, the Duke of Athens and Hyppolita.
Hermia and Lysander were in love, much to the dismay of her father Egeus. Demetrius had been previously in love with Helena, Hermia's best friend. But now he's trying to marry Hermia, with the full support of Egeus. In Act IV, scene 1, the four characters Lysander, Hermia, Demetrius and Helena were all found in deep sleep. Hermia and Lysander had planned to elope and run away but was caught up by Helena who, through the magic potion, had fallen in love with Lysander. On the other hand, Demetrius had, by the same magic potion put on him by Queen Hyppolita, had fallen in love with Helena. When Egeus and Theseus arrived, they woke them up. It was then that they started explaining their situation to the Duke and Egeus.
Demetrius spoke the lines "<u><em>My love to Hermia,
</em></u>
<u><em> Melted as the snow, seems to me now
</em></u>
<u><em> As the remembrance of an idle gaud</em></u>"
to Duke Thesues describing his love for Hermia.