What version of UpdraftPlus do you have?
The message indicates a problem with file permissions in your wp-content folder - you need to make sure that WordPress has permission to manipulate any+all content in that folder. Your web hosting company will know what that means on their particular setup, so ask them for help if needed.
Alternatively, unpack the zip file on your PC and upload the contents into the relevant sub-directory of wp-content by FTP manually.
David