When a ticket is created from a No-Reply email address, you would not be able to continue further correspondence with the requester. To avoid such an instance, you could automatically create the ticket by making the Reply-To email address of this no-reply email address, as the requester of the ticket.

You can create a ticket using the Reply-to address if the option, "Use 'Reply-to' email address to create requester contacts", underAdmin -->Support Channels--> Email, is turned on. This would get the email address of the user from the 'Reply-to' field and use this as the Requester of the ticket.