It may be something as simple as the main relay switch not working.
Im not familiar with the internals of your machine, but had a machine a while back which had the same issue and it turned out to be the relay.
Im assuming the water coming out is simply from the mains water pressure and the pump is not engaging.
As such, I would say that, while it may look to be a big problem, it probably isnt a blown up pump or element, but simply on the incoming electrical side of things. Often, when the element is gone, it will trip the fuse at your mains box.
Have you taken the sides off for a visual inspection?