The black screen on the desktop is how it is supposed to be, nothing showing on the headset not, of course.
Please first install the current Oculus runtime 0.8. While 0.7 may work, it was never tested, so you should get that out of the way as a possible cause of the issue.
If that doesn’t help, and you are using mods, please next try a fresh Skyrim install without any mods. Some mods (“ENB” or other graphics mods, mods using a “script extender” etc.) may interfere with vorpX, so those also should be ruled out as a possible cause of an issue.