If there were four wires (red, yellow, white, black) then that is definitely the fan connector. If you're handy with a soldering iron, replacing the connector shouldn't be too difficult, otherwise you'll need to buy a replacement fan. I don't own a 12" so I'm not sure how much heat it puts out, but I really wouldn't recommend running it without the fan. At the very least, invest in a cooling pad for the laptop to sit on. But for this price you can buy a new fan.