Unfortunately, you can’t make someone co-parent a child with you, particularly if she is being abusive towards you in any case. I ‘parallel’ parent my son, as his mother has such a complete sense of her ownership of him that my views are irrelevant to her unless I’m rubber-stamping a decision she’s already made. If I disagree with her point of view, I’m ‘arguing and causing conflict and distress’.
I have likewise been told to jump through hoops in order to communicate anything relating to our son’s care to her. For well over a year, I was only ‘allowed’ to contact her by texting her sister, with the instructions that her sister would only pass on the messages if I followed a strict set of guidelines on what I could say. She blocked her own phone, and said she would no longer engage with emails from me, but of course happily phoned and emailed me whenever she liked, saying whatever she wanted to, because I had no choice but to keep those channels open for the sake of my son.
Ultimately, your focus should be on maintaining and developing the relationship you have with your child. My son is aware he is loved by his parents even if they don’t get on with each other, which isn’t his fault or responsibility. I personally find the less contact I have with his mother, the better it is for my mental health. I rarely initiate contact with her, I generally just respond.