The file I proposed to remove is .Xauthority and not .Authority but I believe
you removed the correct files (otherwise you would have got an error message
like "rm: cannot remove '.Authority': No such file or directory"). Other
users on the Web suggest to remove ~/.Xresources.
If that does not work, you could try to create a new user and see if this
user can get a graphical session (as you know, Alt+F7 gets you back to the
graphical session):
$ sudo adduser login
You can substitute "login" by any login string.