Hey @kristin a Racheal from the Support Engineer team here 👋
There currently isn't a way to prevent the Customer Satisfaction survey from going out, other than ensuring the conversation doesn't qualify. One work around here would be to snooze the conversation for 7 days (you could add this as an action in the macro). If you or the customer hasn’t replied to the conversation in seven days, we won’t send a conversation rating, to prevent them from appearing on old conversations.
With that being said- I agree a more out of the box way would be useful here, so I'll flag this as a feature request for the team to consider!