This is Seth, another computer Expert with JustAnswer.
So sorry for the issues!!! and I see it's already past the due-deadline you stated :(
(I am guessing you're on the east coast of the US, and it's just after midnight there now?)
Here's my thought:
1) Go to the Finder (desktop) (I see from your screenshot that it's saved on the desktop :-)
2) click on the file to highlight it -- just a single click should be sufficient, or if you wait a few seconds and it's not highlighted, then click a second time (after a several second delay). it should now be highlighted on the desktop.
3) hit Command-i (that's the apple key + the letter 'i') -- this should bring up the Get-Info window.
4) Does it say when the file was last **modified?** It should give both the Creation and the Modified dates & times.... this will tell us when it was last auto-saved, I hope.
(NB: even if this doesn't work, MS Word sometimes makes 'invisible' or hidden backups of files that you can't see... we can get into that, if this part doesn't work.)