Your washing machine uses cold water for the rinse cycle.
If the washer is not filling with water for the rinse cycle it's probably the water inlet valve you hear humming.
I would remove the hot and cold water fill hoses from the back of the washer and check the screens inside the water inlet valve as they maybe plugged.
If the screens are clean then I would install a new water valve. Here is the water valve for your mode if you need to order one.
Water Inlet Valve Part # 285805
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