Get a test light and go back to the rear defroster where it plugs into the grid and see if you are getting current back there. If so, then you have a break in the window grid somewhere. This can be repaired sometimes.
If no current back there, go to the fuse and check that. And also check the relay or just buy one if they are cheap and you don't know how to test a relay. If all those things are good, then it must be your switch, which perhaps you can pop out and by-pass...but it sounds like the switch (button) is working.
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