Let’s go with 70% percent survival rate with Panacea, 20% survivability without Panacea (this is probably more believable especially with certain surgeries). The woman goes to four different doctors who all highly recommend Panacea saying it is by far the best option. Now, if the woman refuses, I think there should be a social worker and/or medical ethics board to decide if she is competent enough to decide and if the decision is ethical.
Now, if she was well educated in the science, heck, let’s even make her a Specialist in the field, and refuses saying “Yes I understand the risks, but my moral (or religious or cultural or whatever) beliefs tell me that she should not get treatment”, then I do not object to her argument. She should still be reviewed by a social worker or someone and be verified that her choice is legitimately made. They should factor in her reasoning and the survivability rates and the quality of life etc.
However, if she is ignorant of the science and refuses to hear arguments for it (believes false studies or media reports or conspiracies or whatever), then no, she should not be allowed to make that decision. If she is not willing to be properly informed of the dangers and risks, then she is not competent to make a decision.
That’s the whole point of the thread. Science opposers who willfully ignore the facts. Maybe I should make it broader to just plain “conspiracy theorists” or “people who purposefully ignore fact”. And by facts I mean the results of the majority educated research. Political example: if you don’t like Obama because of his policies, or actions or whatever, that’s fine. But if you don’t like him because he’s Muslim, that’s not fine. Because he isn’t Muslim! You are willfully ignoring the facts to make a willfully uninformed decision. With politics it’s bad enough, but with science, especially medicine, it’s deadly.