This is even easier now that most providers are (rightfully) giving patients electronic access to their charts. I requested a blood test once, the doctor refuse

This is even easier now that most providers are (rightfully) giving patients electronic access to their charts. I requested a blood test once, the doctor refused saying it was unnecessary, I asked that it get documented in my chart. He said fine, but didn't. When I sent a message asking that his note be updated to include that I requested the test and was told it was unnecessary, I got a call from the office... to schedule the test. If you're particularly averse to confrontation you could do the above and even skip directly asking them to document the refusal. It would probably have the same end result.