The 2 sockets are part of the top panel cover, and come off with the cover when it is removed. When this is done, you will see that the cover cannot be moved further away from the rest of the chassis than the length of the 2 wires will allow. To be able to set the top cover aside from the camera to work on the camera, the 2 wires have to be de-soldered. Any attempt to simply remove the sync socket from the top cover will result in tearing the wire (as you have seen). Your original problem is that you plugged your flash into the wrong socket. Now you're going to have to take off the top cover and re-solder the wire you broke. Taking the top covers off Nikkormats is easy. I can have them off and back on in 2 minutes flat.