Weird file appeared with file type of kdiw

How big is the file?

If it's small (less than a few Megabytes, or such), open the file in Notepad. You'll most likely see a bunch of gibberish.. You don't mind taking a screen shot of it and posting it here?

1) Make Notepad the focused window (click on Notepad)
2) ALT+Print Screen (this takes a screen shot of only Notepad)
3) Go down to the Reply part of this post and Paste it there: CTRL + V


Check out this example I just did. I opened an EXE file in Notepad. The first few letters say "MZ". This implies that it's an executable file.

I did a bit of research online, and any file that starts with MZ, is an executable:
mz file exe - Bing

Welcome to TenForums @geoffamorse

Malware has a habit of hiding its files under random names. Try a scan with AdwCleaner.

https://www.malwarebytes.com/adwcleaner/

Aha.. I see. Your computer is turning international on us.

Quite honestly, I've seen files with the Asian characters before, which I find very strange. (Yet I've seen stuff like this on my computer before, so no worries)
This doesn't look like an essential Windows File.

This is what I would do:
1) I would rename the file from uhgawgi.kdiw to 1uhgawgi.kdiw
2) Restart the computer (the computer should restart with no problem)
3) Give it a few days, if you see no application giving you an error about it, then I would delete it. Yet if an application states that this file is missing, then we found that app that uses it.
4) Honestly with my experience of Windows 10, which is something that I DO NOT recommend (yet it works for me), if there's a file that I don't like, I simply rename / give it a few days / delete. If it is was an essential computer file, Windows 10 is advanced enough to recover and bring it back.

Weird files be everywhere.

Do a simple analysis to see where those two weirdos are at.
Go back to Task Manager > Startup tab > Right click on the other weird file > Open file location. (The other one not in gigged folder)
File Explorer will open. Look at that location. Is it a folder of some program you installed in the past/not using anymore? Analyze that folder. If it sounds strange and you don't know it, post back here. I'll see if I can help you research that folder on the internet, see what it's all about. Do the same thing for that second weird file.

Let's get rid of the weird things in life.

EDIT:
Sorry I forgot that you found that first file in the giggeg folder. Which is what I was trying to reach at. But do the same step above for the second file.

Also, what does it say for Publisher in Task Manager. Maybe that would help us figure out what that is.