Select those shapes under the coffin which need the hole, group them. Then select the coffin and the group and apply Object > Clip > Set Inverse. No group is needed if there's only one object which needs a hole under the coffin
Inverted clipping path deletes nothing, it makes a part transparent.
BTW you are an exceptional XY questioner, you also revealed the actual problem in a comment. The others maybe never get a solution for the actual problem because the actual but hidden Y isn't equivalent with asked X.
The presented solution doesn't solve your actual problem, it solves only the green and black circle case, Bitmap images need something else.
This does the job
Draw a path (=blue) along the edge
Insert a big rectangle (=red) between the photo and the drawn rectangle. Beware moving the path or photo.
Subtract the blue path from the rectangle (=Path > Difference)
Select the photo and the rectangle with hole, apply Object > Clip > Set
I inserted some blue garbage under the result to show there's a hole.
I guess a white cover drawn over the photo could also do the job if there's nothing else under the photo than white.
GIMP is the tool for photo editing. There a hole is made in seconds when there's good contrast. The next result took 10 seconds in GIMP. The grey between the wires and surrounding white were selected with the Fuzzy selection tool (=the magic wand) and DEL was pressed: