The best way to check is with a meter.
Make sure the overfill switch is not activated (float is down, switch is closed)
Check to see if the unit is getting power (120 volts) when it should be filling at the beginning of the wash.
If not then the timer would be the #1 suspect.
Left hand side front in the tub. Item 305 in the "Body parts" section.
Note that it must be stuck in the up position to stop power to the water valve. The switch is behind the kick plate.
This is a long shot as a possible cause for your problem.