Error Details: The Jetpack server was unable to communicate with your site [IXR -32300: transport error: http_request_failed Operation timed out after 15001 milliseconds with 0 bytes received]
That error message means that the Jetpack servers were trying to connect to your site in order to do whatever it is that they needed to do at the moment, but your site was so slow to respond that they gave up.
Essentially, the Jetpack server waited 15 seconds, and after no response, gave back that error.
So the site being slow caused the error. It’s not the plugin, it’s the slow server.
And yes, GoDaddy servers are usually very slow, especially their shared hosting. Unfortunately, there is not much you can do about it. I’d recommend switching to another host myself, if speed and uptime is a major requirement. You’re just not going to get good speed for $5-10 a month. Sorry. If you absolutely must have a fast site with good uptime, expect more in the $30 or more a month range on a VPS or similar. For hosting it’s basically cheap, or good. Pick one.