Starting from the top, ripping out that mess should have been her responsibility, she should not have had to even think about it, she should just have done it and then requilted it or returned it if she was unable to do it. Next I can not for the life of me understand why she has trimmed the sides knowing that the quilt would need to be unpicked and redone, she must have known it would have to go back on a frame. I do longarm quilting for people and my conscience and sense of integrity would never have allowed me to let this happen without remedying it at my expense.

Next to answer your question about putting it back on a frame yes it can be done. Simply take some calico/muslin strips about 4" wide and using an open/large stitch (ie easy to get out later), attach them to your back. If it doesn't line up quite right on the frame you may need to sacrifice a small amount of your border to square it up, assuming you have a border that has room for trimming. Talk to the staff at your local quilt shop if they do longarm quilting, they will be able to advise you.