I bought this pretty Amy Butler fabric a while ago thinking I was going to make pillows (why I keep thinking I can do this) and the red ended up being too bright for my sofa. Put it works perfectly here!
In the end, I used spray adhesive and attached the fabric to red and white dot wrapping paper. I attached the fabric to the door using strong velcro and double-sided tape. When you open the door you see the red dot paper instead of the ugly side of the fabric.