Not much advice, but I had hypnotherapy from a psychotherapist who had trained in it, for a chronic health condition. It wasn’t a magic cure, but it did definitely help. I practiced it myself for a long time after. I really, really rate hypnotherapy based on my experience.
I saw two practitioners before her, who were both a bit rubbish. One was employed by NHS, he may have been a doctor who trained in it, another was just some random who had trained in it to set up as an alternate therapist. They just weren’t very good and I didn’t feel that they really listened or understood my condition, how distressing it was or how to talk to me about it.
I guess based on that I would recommend someone who was already skilled in therapeutic support, like a psychotherapist, who can really listen to and work with your daughter’s fears.
The environment makes a difference too. The psychotherapist I saw walked from her home and it was a lovely, calming environment. I think that helps as in hypnotherapy you need to get to a really deep state of ‘alert relaxation’ and the right environment I found really helps whilst you are learning the skill they are teaching you.
I think there is a hypnotherapist association so I presume there is accreditation.
So yes, in you situation I would prob look for someone who was already a therapeutic practitioner, ideally experienced in working with children, working from a calming environment, and I wouldn’t give up if the first people I tried didn’t help. It’s about finding the right person with the right skill set to help.
Good luck OP. It sounds like a really horrible situation for you and your daughter.
There is also mindfulness training that may help too. Mindfulness Based Stress Relief. I’d try the hypnotherapy first though.