Process Question: Automated Emails

Question for all my admin friends! We are sending out automated emails from the CSM at certain days of the customer lifecycle. We have them spread out so that they don't interfere with scheduled events the CSM completes, but obviously, there are times where the CSM may not complete one on time and run into the window of the automated email. My VP is asking if there's a way to prevent the automated email if a CTA was closed within a certain time period. I can do that obviously, but it definitely gets complicated. So, I'm wondering how others handle this situation. Do you just go ahead and have the email send or do you prevent them if another "live" action happened?