How can auto-replies be stopped to be sent to certain email addresses?

Hi all,

This is a questions for all experts, specifically in Service Cloud.

Unfortunately I could not find any similar situation so I can try a suggested solution. 

This is about auto-response for Cases. Supposing the following scenario is given:

• Customer sends an email to a Routing Service Email Address assigned to Queue X on Email-To-Case
• The email sent creates a case
• Agent in Queue X forwards the email sent by customer to an internal team (no Contact records for internal team)
• Internal team answers the email sent by agent in Queue X
• Case Auto-reply is then sent to internal team (say email address internalteam@gmail.com)

Is there any possibilty auto-replies are not sent to internal team considering is just a team with no users nor Contact records in Salesforce?.

In other words, how can auto-replies be prevented of being sent only to the email address internalteam@gmail.com?.

I think, the only possibility is within the email account clients setting rules to avoid emails coming from the email addresses set on auto-response rule entries, but other criteria are needed for such rules.

I would appreciate any guidance from experts.