I love the picture, it is very clear and the deer and background are beautiful. It looks like a photograph. I agree with everyone about the logo, especially in every square, however, unless you find a very creative way to hide it, I don't see how you could cut it off. The picture is balanced. You need the print on the cloth under the deer to balance the picture. I like all the ideas on here to camoflage the logo, color it so it blends in, place an applique over it, etc. I also recognize that some people love, love, love certain brands and want it there. I just don't think cutting it off would use the beauty of the scene in a satisfactory way.
This is like Olin Mills putting their logo in the corner of every picture.