Just need support

[Maybell]

RAI, I would thank her for the email.

I'm not an expert, but just in the interests of throwing something out there (vets may have a better suggestion), I would respond to the mediator like so, ccing your W:

Thank you for following up. I'm going to leave the communications in W's hands since she has the more demanding schedule.

And then back off. If she wants to pursue it, she can, if she wants to let it drop then she can communicate that herself.

And WRT the email you quoted above, it is always good to be polite and responsive. Thanking her is not a distancing action.

Keep posting more details about the problems in your M, you'll be out of moderation soon. Responding to other people's threads also will shorten the time needed to get out of moderation.

Hang in there!