once the plastic has been cleared away you should see a small green circuit board with the remnants of the wires you cut off earlier still attached

Use a soldering iron to melt and lift away the old wires

NOTE: Pay attention to where the leads go so you can reconnect them to the same place when it's time for re-assembly But it should be fairly obvious that the shield wire has been split into two strands and soldered to the back and front of the circuit board, with the central wire (covered with a white insulator) connected directly to the bottom left corner of the circuit board.