I think part of the problem is that we are not very honest about the medicines we have the how medicine is practiced.
A lot of medicine is trial and error, with a bit of evidence thrown in. Most licensed drugs won't work for a large portion of patients they are made for. Some patients just won't respond, some will experience bad side effects, and for the most part we just don't know why. Instead of being honest about this, drugs are presented as magic bullets.
We need to have a more honest and balanced discussion about the benefits and limitations of all forms of medicine. Giving the impression western medicine is infallible and everything else is junk just feeds the conspiracies.
The COVId vaccine was a great example of this. It was incredibly effective, but it was v experimental, and it is clear that a small number of people suffered very bad side effects. From a population perspective, it was a huge triumph of modern medicine, but that is cold comfort for those individuals badly affected.
I hate the conspiracists BTW, that story of the nurse and daughter was appalling. She v likely would have gone on to live a long and healthy life if she had chemo.