Hi ChristinaRose
I had my CTS surgery done successfully by an orthopaedic surgeon. Many of them specialise in hands/limbs. I would imagine that either specialist could be equally trusted to cut the ligament & stretch the 'sleeve' away from the nerve. There's also different degrees of skill amongst all orthopaedic & neurosurgeons. I'd just head for the one with the best reputation.
Best wishes.
Lidia