So sorry, defiance. I really feel for your father. He's far from the first CH patient to become difficult when dealing with this awful condition. I had to fight my daughter every step of the way to get her oxygen (she has CH, not me). She even wouldn't try it once I had it set up, until she got desperate one night -- and it changed her life. I will never forget her laughter as the pain washed away.
It's terrible, but also not uncommon, to have an uncaring moron for a doctor. You would think he might just look something up, right? Here's a document from the American Headache Society that might help him stop being a cruel jerk: http://www.achenet.org/assets/2/7/GoadsbyCluster.pdf But probably not. There's a list here of recommended doctors: https://clusterbusters.org/cluster-resources/ Maybe you can get him to one of those, or at least to a headache center, where the likelihood of helpful diagnosis and treatment is pretty high.