is there any symbolic link between the animals hunted by sir bertlik and sir gawain's conversations with the lady?

There is a lot of symbolism in this section;

First, the host is out hunting..... while his wife hunts Gawain.

For a truly detailed look at this part of the novel, please follow the link below;

http://www.gradesaver.com/sir-gawain-and-the-green-knight/study-guide/section3/