I get the funny feeling that you are experiencing 'tennis elbow'. It really is just stress on the joint and surrounding ligaments. If that is the case, there is no real cure--just treat the symptoms and try to find a more comfortable way of cutting/sewing/quilting.
BTW there is a support available (I think it is a sort of strap that just presses on the specific area) and is not very expensive. Hugs. Hope it feels better soon.