Why did Creative Cloud re-install itself on my PC?

Acrobat Reader DC Pro does not exist.
You have Acrobat Pro DC or Acrobat Reader DC, you can see its name in the top bar.

Hi Adriang,

Hope you are doin well and sorry for the trouble. As described, After reinstalling the Acrobat Pro DC , the Creative Cloud, Adobe Acrobat Distiller DC, and Adobe Acrobat Reader have all shown up in the list of installed programs.

Would you mind sharing the steps you did to uninstall and reinstall the Acrobat Pro DC?

Adobe Acrobat distiller is an integral part of the application and runs in the background. It is used to convert the Postscript documents to Acrobat PDF format.

As mentioned you dont want the Creative Cloud Desktop Aplication  and Acrobat Reader DC, you may remove the applications from the installed applications from the control pannel menu (For Windows) or you may move the application to trash (For Mac)

If it still doesn't work, you may use the Acrobat Cleaner tool to remove the applications using the link https://labs.adobe.com/downloads/acrobatcleaner.html , reboot the computer once and reinstall the Acrobat DC from the direct download link https://helpx.adobe.com/acrobat/kb/acrobat-dc-downloads.html

Regards

Amal