I might take a little work but you can cut a small slit in the middle of the background behind the appliqué. You can then score the back of the fusible paper and holding the appliqué stitches from the front, ( you don't want to distort the stitching)gently wiggle and pull the paper away from the stitches. Since the fusible hasn't been fused to the background, you should be able to then re-iron the appliqué and it will fuse the slit shut.