Teamviewer Just Showed Up On My Desktop

I did not install this. And when I go to either Program folder in the C directory it is not there. Neither is it in the Settings/Program and Features panel. How do I get this off my computer? And what should I check to see how this got on my computer? Thank you.
P.S I've left it there because there would be no way I could access this for future troubleshooting right now as there is no uninstall anywhere..

 

No desktop icon. But upon right clicking the icon in the taskbar (glad I kept it open!) and clicking Properties I get C:\..AppData\Roaming\QTUdate. There files there are:
QTConnect.exe
TeamViewer.ini
TeamViewer_Desktop.exe
TeamViewer_Resource_en.dll
TeamViewer_StaticRes.dll

 

Should I just delete the whole folder?

 

I deleted the folder on out last speaking day which was last Friday. Today, Monday this alert popped up:
"One or more of your TeamViewer version are missing or have been modified. Please reinstall Teamviewer."

What is checking for this?"
And how do I stop this from checking?
And why, if there is no installed Program File (it was just a free standing folder) does it feel the need to check for it?

Su when I OK that warning Teamviewer reappears on my desktop even even though I deleted the entire folder last Friday. And all of the files I delete are back as well!

In the back of my mind I'm thinking it's all nefarious though I ran Malewarebytes and came up with nothing.

 

Between this post and the last I ran some other cleaning programs as well so the logs may not reflect the original situation.