I know the feeling. My father is similar.
When he argued with me, I would just stop talking. Eventually, I stopped visiting. The arguments continued when we talked on the phone. I had been transitioning for three years before I told him. I had learned enough about dysphoria to be able to explain it to him. My counter-arguments were in the form of explanations about things he didn't know about. I sent him links to medical studies and articles that explain what gender dysphoria is and what the appropriate treatment is.
Then his computer stopped working. Every time I called, it was in the shop getting repaired. Then he got it fixed, but his email wasn't working. Suddenly, his email provider stopped servicing his address even though he lives in the middle of a large city in Colorado. He said he was switching over to a new email/internet service provider. That was before Thanksgiving, and he still has not emailed me or offered his email address.
I stopped calling him and he realized that he would have no contact with me if he didn't contact me. It took him two years to start calling me by my legal name.
I don't need the stress. I choose not to have negativity in my life and if that is all he has to offer, I will opt out. I do not need to talk to him. I am 67 and I would love for us to be able to have an adult conversation. For that to happen, he must treat me like an adult, or else I won't participate. I have more important things to do.
It was hard to do, but when he asked why we were not in contact as much anymore, I explained to him that I was not going to argue with him. If he is interested in learning about what I am going through, I am happy to explain it. But not if it means an argument. Now when he calls, we talk about the weather or our latest medical appointments. I secretly enjoy telling him things like I had an appointment for a mammogram or to see my Gynecologist. Just my way of reminding him who he is talking to.