Blackmail and stressed

I (29M) had recently separated [see post for details]. In the midst of separating, and being “checkout” of the relationship for months. I (who was single at the time) reached out to a (35F) that was mutual friends of someone I knew. Well it was supposed to be just casual fun but quickly spiraled. Talking from day to night looking to fill the void I had lost. I was at my lowest and was still being treated even worse by my ex due to leaving. Well as we talk (myself and mutual friend), pictures were exchanged and texts of course. After about a month, I attempted to ghost this person. I blocked her on snap, she noticed and sent me a message calling me “disrespectful and a POS for hurting her”.

I then blocked that phone number. She then created a fake phone number from a texting app and continued the barrage of messages. To include a message saying “I wonder how (insert exes name/child’s mother) would feel if she saw these pictures or texts”.

My child’s mother stated “I wouldn’t feel comfortable with you talking to anyone else and would keep (child) away from you if you did”. We have no legal binding regarding custody, but I have a high status regarding my career and don’t know what to do or how to get out of the situation.