I know you're not looking to fix this, but maybe there is someone else with the same issue. And if we find a solution it would be great
So bear with me in my last attempt...
I tried to simulate your situation and deleted the file '/etc/conf.d/xdm' and got the following login screen:

Now you login using your normal usernam and password. The graphical interface you get is the following:

Now become root in the terminal window using the 'su' command and your root password:

You are root if the green text changed in red...
So according to your previous posts the command
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cat /etc/conf.d/xdm
resulted in 'No such file or directory'
So we will create it. Execute the code
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nano -w /etc/conf.d/xdm
This wil give you a basic text editor. So now put following lines in it
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CHECKVT=7
DISPLAYMANAGER="kdm"
A screenshot of what you should have:

Now press 'CTRL+X', he will ask you if you are sure you want to save. We are so press the 'Y' key. Now he asks you for the filename. It is already correct so just press the 'Return' key (also known as the 'Enter' key)
Try the command 'cat /etc/conf.d/xdm' again:

All done. We just need to reboot now. We can do this with the command
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reboot
And if we are lucky...
