Make sure your ignition is off as well as the radio. Once the red piece is off, look deep within the connector and you will see white tabs over the tops of the metal pins, from looking into the end of the plug where the charging module pins plug in. Gently take your precision flathead screwdriver and lift up a little bit on the white tab. The wire should now easily pull out from the back of the connector. It shouldn't take too much force. If it doesn't easily come out, you may not have the white tab lifted high enough. NOTE when you remove the wire, remember how the metal crimp pin is oriented in the old plug. You will be plugging into the new connector with this same orientation. Also try not to touch the wires together and short anything out, just in case there is power. Temporarily taping them apart so they don't touch isn't a bad idea.
You will then see the "nub" on the metal piece that rtreptow7 referred to earlier. It is shown in the picture below of the metal crimp pin, on the top side. This needs to be compressed a little bit with pliers or use your flathead screwdriver to press in the nub. If you don't press this in, it will be very difficult to slide the metal piece into the new plug. The picture shown of the metal crimped wire is the correct orientation as if you are looking straight down from the top of the connector. This "nub" will look like it's on the right side of the pin when placed into the new connector.
Again, on the new connector, I entirely removed the red end piece for installation. Just lift the sides of the red piece with the screwdriver and it will pop right off.
After you press in the "nub" on metal crimp pin, just slide it in, and listen for an audible "click". Check the end of the connector and you should see the metal pin go all the way to the back of the new plug. Do this for all 3 wires, make sure you have the colors in the right spots, then put the red piece back on the end.
The new module is an exact fit to where the old module is. It bolts right on with the same screws. Plug your new connector in and test. It should now work! Good luck!