Final answer:
In the Arthurian legends, Gawain meets the Green Knight in the Court of King Arthur, which is known for its chivalry and knighthood.
Step-by-step explanation:
The court where Gawain meets the Green Knight is known as the Court of King Arthur in the Arthurian legends. King Arthur's court is depicted as the center of chivalry and knighthood, where many noble knights gather. It is in this court that Gawain encounters the mysterious Green Knight and embarks on his quest.