Strangely, the Green Knight leaves, with the agreement that Gawain will seek him out and take a blow from the Green Knight's axe next New Year. On the way to find him that next year, he meets a king and queen and is tempted. He faces temptations to his chastity and continues on his journey to meet the Green Knight. I will not give any spoilers, but hopefully you will take time to read this story someday. One impressive thing to note is that there is a lot of alliteration in the verse. I am impressed with the translator's ability to retain the amount of alliteration from the original Old/Middle English.
Simon Armitage's translation can be found here on Amazon.
A translation by J.R.R. Tolkien can be purchased here on Amazon.