Zombie folder refuses to Delete from Desktop

Hi Brian. Thanks for this suggestion! Unfortunately, no dice. I should note; during my initial rm -r from Recovery mode, I think I responded to the override the override prompts with the word "yes" rather than the letter "y." Wonder if this matters? What I do know, is that the questions were different each time, for various (new) overrides. There were over a dozen of these, at which point I instead opted to run a far more-risky "rm -rf." This operation was looong!!!---perhaps hundreds of lines of "stuff" scrolled in the Terminal window after I ran that command---which resulted (after restart) in no change at all.

Not surprising though, after I posted here in this forum and seeing your suggestion, I encountered a "directory not found" when first re-attempting "rm -r" after disabling SIP per your recommendation. I then once again did "rm -rf" which was interesting: Terminal took this command (with proper path to the directory of course) and just immediately presented another idle prompt without any message. So, I have no idea if anything really happened.

I did follow your steps to the letter with re-starts exactly as you recommended (i.e. the SIP is now re-enabled).

TBH, I'm sort of gobsmacked this has become such a challenge! What seriously are my (or anyones) options? I think command-line ideas are dwindling. It's looking more like some sort of restore process from either a clone of the drive or from a Time Machine backup (I would make the latter immediately if I take this on). There is also that internet repair option, but I sort of freak out but the idea of various preferences/settings not making the transfer as I would hope. Thanks again for the help!