Water does not flow from door dispenser at all (not even a drip), ice maker does work and is supplied with water, therefore it is not the filter or the household supply. The water did flow in the past, this is a new problem.
You will want to disconnect the tube at the bottom of the door and push on the water dispenser lever and see if water comes from the tube. If there is no water coming from the tube then the issue is the water valve. If there is water coming from the tube then the issue will be that the water line in the door is frozen and will have to be thawed.