SO here is the update of what happened. After I talked to him, I sent an email to all of my daycare parents stating that I am CLOSED at 6 and not a minute later, due to me leaving the house, almost daily at close for family obligations.

This particular family did not address the email. So a couple of days later, I messaged the mom about the scheduling changes in a couple of weeks due to her work trip. Instead of DCG being here 2-3 days per week, she was suppose to be here 5 with the father picking her up. But instead, for that week they are going to find alternate care because the father can not guarantee pick up by 6pm.

From now on, the mother is making her schedule to ensure that she only works open shifts and thus she is the one to pick up DCG. Which works fine with me.