I don't know about the rest of Europe, but in Denmark, universities get a part of their funding based on the number of graduates. So the university has an incentive to help student actually graduate instead of kicking them out. That may or may not matter to the bureaucrat responding to an appeal - but I'd certainly not just assume that "I'm close to graduation, just let me do this one more exam attempt" isn't a good enough reason for them to let you try.

You miss every shot you don't take. Don't be ashamed or afraid to appeal. At worst, nothing changes.