I changed this to its own question as it's different than what you attached it to. Your problem is caused by one of these two issues:
Water Inlet Valve
The water inlet valve opens to allow water to enter the washing machine. If the water inlet valve is defective, the wash may fill slowly or not fill at all. The water inlet valve requires sufficient water pressure to function properly. First, check the water pressure to determine that it is adequate. If the water pressure is adequate, try cleaning the screens inside the water inlet valve hose connection ports. If the washer still fills slowly, replace the water inlet valve.
Low Water Pressure from House Supply
The home water pressure might be too low. The water inlet valve requires at least 20 psi to function properly. Check the water pressure to the valve to determine if it is sufficient.