Not sure of the site or what you are referring to by the site being off. Are you seeing an error?
When you integrate i would suggest insuring that your DNS records in your Ezoic account match those at your host.
If you see that they do not all you need to do is edit the Ezoic copy to match the DNS found in your hosting account. You are able to update these manually in your Ezoic Dashboard under 'Settings' > 'DNS Settings' > 'Edit DNS Record'. Here is a link with more information on this: How To Update/Add: DNS Records and Subdomains
This article may help you locate these at the host if you're struggling: Where to Find DNS Records at Your Host.
If you where seeing an Origin error here is a guide on How to Fix Origin Errors