and why should anybody else trust her? well, if she just says "actually, I'm right and the science is wrong", nobody should! Anybody can say that, regardless of whether they're right or not. I could say that!

if she says, though, "actually, I'm right and the science is wrong though, and here's why:"

and explains her entire process, what results she's seen hands-on in her own surgeries, and is careful to also include anything she saw that isn't consistent with her theory..., shows her reasoning, and shows her work... that's convincing and persuasive. It's also not easy, and requires lots of work. So does figuring out things in general.

And that's called "an argument".