Hey again! Thanks for that.
It sounds like the default save location is the Desktop, but it’s not showing there?
Its possible the file never saved if the process was stopped unexpectedly.
However there are a few exceptions:
One would be if the file just happened to be backed up in That exact time by a Time Machine backup, in which just might be saved in your user library:
~/Library/SavedApplicationState.
Another possible solution:
Do you have iCloud Drive on? And if so, does your Desktop and Documents sync with iCloud?
If so you’d see in Finder, Desktop and Documents under the iCloud section of the Finder Sidebar and not under “Favorites”.
If this is the case, you can check to see if there maybe an iCloud Archive available, and again, these are unlikely as the file hadn’t been properly saved:
Go to iCloud.com > Account Settings > Advanced > Restore Files, see if the name (If named) of the document appears, if so you can restore the file.
Let me know if you do have a Time machine backup and if it is automatically backing up and connected all the time, or at the time this occurred.
Otherwise, I don’t think you’d be able to recover this file, but hope it works out!