A towel has to be the hardest to embroider and the hardest to remove embroidery. Next to a fabric like silk, I would say that a towel, cheap or expensive, is a real disaster.
I have looked over the answers here. As usual, Ann has given you a great avenue to repair your fabric, but the most fool proof solution is to buy another towel.
I will be talking about stitch removal in one of my up coming blogs. Revomal is never an easy issue. Another factor is the amount of removal necessary to complete your task. If you have to do removal, I have found that natural light is a great asset. And, Iself1 added a magnifier, another excellent idea.
I do hope to see more ideas here at AnnTheGran, ME enthusiasts are really resourceful.
If you are interested in selling your projects, you can determine your costs and profits quickly with my Spreadsheet.
If you want a lot of great information on working easier, faster and more confidently on your computer, check out my Tips and Tricks.
If you want to see my pashminas (that I successfully sell retail) check them out here. I also wholesale them.