I think the sciences and medical professions have lost the confidence of much of the public. And almost entirely through their won fault.
I'm not far out on the fringes person, fwiw - much of my birth family is in medicine, at high levels, and I've worked in that sector too, and my spouse and ILs are largely scientists or medical.
Trust in process is a hugely important part in science, and yet we all (should) know there is a serious crisis in peer review, publishing, around commercial interests in the pharmaceutical industry in particular, the number of experimental results, even in hard sciences, that prove not to be reDeGrasse-Tyson.peatable. And more.
And we increasingly have a cohort in the media who treat certain topics as dogma rather than science, where questions and alternative models are decried as blasphemy.
Idiots in public facing scientific "public intellectual" roles, like Neil DeGrasse-Tyson don't help, which is perhaps unfair to working scientists but it certainly affects how people perceive those roles.
More immediately, Covid has the most to answer for. So much scientific nonsense not only proposed, but pushed on people who were punished if they didn't toe the line. From putting up plastic screens in shops, to insisting paper surgical masks stop respiratory viruses, the 2 meter rule, to calling people who though the lab leak theory was plausible racists - all supported by governments, none of it science based. (A crazy local one to me, for a while we had to wear masks into a restaurant, we could take them off as long as we were sitting, if we got up to go to the toilet we had to take them out of our pocket and put them back on.)
And anyone who works in vaccination programs in countries where there is a distrust of vaccines will tell you the main thing you should not do is try to force people to be vaccinated - it has the opposite of the desired effect. (Public health people knew all this stuff, btw. They just... chose not to care.)
People see the authorities telling fibs to manipulate people into doing what they want, often for reasons that don't make sense, most scientists don't speak out.
Plus all the usual stuff. Vaginal mesh scandal. Contraceptive shots causing brain tumours, after many years of use. But apparently no need to worry about new products/vaccines/etc.
The result - massive distrust.