Are you getting any sort of error popping up? Do you have shell access on your server (might make sense to rub a test to make sure the underlying network connectivity is working… if the server can’t communicate to Cloudflare API endpoints, it would be a huge problem)?
Oh ya... just in case anyone else sees this thread, the Pro version is an extension of the free version, it's not a standalone plugin (the free version is required as the Pro version extends it's internal PHP classes).