Do you have root SSH access? I.e., is your hosting plan a virtual server of something like that?
It could be that root access isn’t 100 % necessary to succesfully get a certificate for your GoDaddy hosting plan, but we need to know on how to advice you further.
As far as I can tell from https://godaddy.com/hosting/web-hosting GoDaddy only offers shared hosting? And it lists “CloudLinux” as the operating system, as far as I can tell.
If you’re on GoDaddy shared webhosting, you might be interested in the following guide: https://tryingtobeawesome.com/encryptdaddy/ It provides fully automated issuance and renewing of certificates even without root access!