Good move on your part not to initiate contact for a few days. However, I think it would be fine to initiate a contact. The kids may be your excuse to make contact, but you can work into the conversation a more personal interest about her. Not too much, but a little. Ask about her week or weekend. That sort of casual talk that most casual friends do. It is not over personal.
It is not about what you feel should work in your M. It is about doing the work that gets the right results. Do what works!
