Why do you have to communicate with OW in June if the single necessary transaction has already been completed today?
Why would you have any communication at all with OW in which W was not included? Can you BCC her? Does she have full access to your email?
All of this should be totally transparent.
And, all of this applies to W and OM too. No contact, complete transparency. It really doesn't matter whether she gets it. It is YOUR boundary to set, not hers. Good for her if she has the same one with you.