@Alistair Ross Follow up question on this. I inherited few clients with AD DS configured under their 'real' domain name. Let's say contoso.com. Problem is that resources inside the Azure network (or users on VPN) can not access their external contoso.com website now. I am not able to configure Forwarder on AD DS DNS because of course contoso.com Zone already exsist. Is there a work around that?
Do people typically configure AD DS as a subdomain instead? Surely this must be pretty common issue. I'd love to know the best practice for this.