<human>: Condense the text into a few key points

The last contact I had with my ex was last week when I told her that, no, we couldn't be friends after everything that happened because I would always have feelings for her and we had both hurt each other too much over the last year of our relationship when we codependently lived together, and the two months following our breakup. I told her I wanted to say goodbye for the rest of our lives, and I wrote her an email straight from the heart. I was sad that she didn't even acknowledge receiving it and sent a couple of one liner follow-ups the next day to see if she had read it, and then I cut the cord. I was really sad but overall doing pretty well the following days: I went to work, hung out with my new work friends over the weekend, exercised, checked off some goals, set some new ones, etc.

Today, she emailed my mom completely out of the blue and made something up about how I'm creating false online identities to contact her. I have absolutely no idea why she would do this and it's driving me nuts. It's completely out of her character. 

I'm hurt by this and feel myself being pulled back into the breakup blues. I don't want to eat or climb out of bed at all. I was very concerned for her these last two months because she was making a lot of alarming and emotionally-overwhelming life decisions post-breakup, which made it nigh impossible to detach myself, and now I'm not sure if she's continuing to break down or if she's suddenly malicious and I need to watch out. She's also living with her rebound boyfriend, who might be manipulating her as he's liked her for 7 years despite never meeting IRL until she moved in, and he "helped [her] realize what was wrong with our relationship" back before we broke up. So this could be his doing. Or maybe she wants revenge because she wanted to be friends and I don't. 

What do I do? How do I possibly deal with this healthily?
<bot>: I decided to cut things off with my ex permanently after 2 months of a messy breakup. One week later she randomly emails my mom and tells her that I've been creating false online identities to contact her. Wat do?