DNS Resolution for VPC Peering
DNS resolution for a VPC peering connection will allow the customer to have it's clients resolve the private IP of the rabbitmq server when using the hostname.
To enable this, we have to wait until the customer has accepted the peering connection and after that find the peering connection in the AWS console and enable the "DNS resolution from accepter VPC to private IP" setting.
If enabled from Action->Edit DNS Settings
Check the checkbox and save
After it's enabled it takes up to 30 seconds before the customer will start seeing the private IPs instead. The customer doesn't have to change anything on there side of the connection.