Now through England’s realm he rides and rides,
Sir Gawain, God’s servant, on his grim quest,
passing long dark nights unloved and alone,
foraging to feed, finding little to call food,
with no friend but his horse through forests and hills
and only our Lord in heaven to hear him.
He wanders near to the north of Wales
with the Isles of Anglesey off to the left.

Although short, this exerpt shows Sir Gawain continuing on his mission around all of Wales to find the Green Knight's castle.