Question

Why does gregor cover the picture of the woman in the fur coat with his body

Answer 1

Gregor can't handle the furniture moving. He crawls out from behind the couch and globs onto the first thing he sees. It is a picture on the wall of a woman in furs. I think Gregor doesn't want to lose the possibility that he might become human again. The furniture reminds him of this.

Answer 2

To prevent the removal of the picture from his room(apex)