From very personal experience, I did just like you. XW moved out, actually had EA, would call and text and blame me, then want to sign the D as fast as possible, then tell me if I had only done XYZ - then she would want me to come over to have sex with her. Then she would rant about some awful thing I had done a year ago. Then tell me that she loved me, and was sad so much love was going to disappear.
It went on for probably 6 months until I finally said, "Have your lawyer contact my lawyer when you file the paperwork. Here is his address and phone number." Then I went solid dark.
She texted and called probably 100 times over the next few days, sometimes pleading, sometimes furious, sometimes clearly drinking! It was probably the most willpower I've ever exercised to not respond, but I somehow didn't. I also started working out, scheduling specific fun time out with friends (even though sometimes it was gut-wrenching), joined a book club, started some house projects. Over the next four months, I was solid dark, I lost 30 pounds, got new clothes, had a hairstylist get me a nice haircut, and actually met a nice girl. XW finally found out about it from some random connection, and she couldn't take it.
She came to ME, sobbing and apologizing and scheduled marriage counseling the next week.
I don't know if that's how your story will go - but I can tell you can't go wrong with a few of the things I did along with the total dark.