I understand your problem, but your doctor is correct--the only way to remove a cyst is surgical, and that area scars badly. There isn't any non-invasive way to remove it. Seeing a plastic surgeon would be your best bet, though even stitching by a plastic surgeon would likely leave some kind of scar. The surgeon would be the best judge of what it might look like, and then you could decide. But if the cyst is that small, then you may well be unhappy with the result. Sorry, but that's just how the skin heals there.
Best.
Dr. Rockoff