My Cold Water On Washer Stops Working But Hot Still Works

More than likely there is a clog in the screen on the cold water hose. First turn off the cold water to your machine. Once the  water is off, unscrew the hose from the back of the washer (not the one on the wall). Check either  the end of the hose or the inlet on the washer for a screen. If dirty, you should be able to pull out the little screen, clean it and put it back in and reconnect your hose.  Be sure to turn your cold water back on and give that a try.