https://www.innerhealthstudio.com/phobia-taking-blood-pressu...
I'm one of them. I bought a device with memory and covered the screen with a piece of card. Then I take BP for two weeks and ignore the first few days' readings. I seem to get used to it after a few days. This gets me readings that are very close to 120/80.
I've had anxiety about blood pressure ever since running for an appointment, while being on the first day of a new job when I was really amped up, and so (of course) had a dangerously high reading. I still remember the guy's eyes widening as he looked at the screen. Ever since then I've hated having BP taken and I can feel my BP and pulse increasing the moment I step into a doctor's office. Fortunately my doctor understands and doesn't try to push pills on me.
I wish there were some way of measuring BP without knowing it's being done. The act of measurement can greatly affect the result, which is counter-productive in several ways (not the least of which is un-needed anxiety).
York Cardiologist on Youtube is good on BP, and why apparently high BP should not automatically mean pills, although undoubtedly it sometimes should. (Usual disclaimer: this is not medical advice, ask your doctor about your specific situation.)