I dont follow.
Yes, relay-hosting.secureserver.net is what should be entered as the e mail server in the site settings.
In the Contact Form Emails Section you enter the to address.
however, regardless of having these set correctly, the fact that the page is not redirecting to the thankyou page means that the email is not even trying to be sent. That issue needs to be solved first.
only once it is redirected to the thankyou page will it be trying to send the email.