Damn, so I guess it won't be that easy to resolve the issue.
The strength of your device shouldn't be a problem because not even the launcher starts on your end. Not even the splash screen shows up, which means something cancels the application before any resources are even loaded. There is probably something specific preventing the game to start because I had a Linux user test it out on their Xubuntu couple hours ago and it worked on their end (at least the launcher and main menu loaded). :/
Can you tell us what version of Debian you're using specifically? We used the newest 10.6 amd64 that we found on their website. Are all drivers up-to-date? If everything is up-to-date, do other unity Linux games work on your device without any extra configuration?
Lastly, could you send us a crash log here if there is one? It might tell us what's up if it ran into a problem. It should be located under home/.config/unity3D/Hades Production/Terminus/Player.log