I think we should trust in science, but not naively. Science has limits. Science is not perfect. Many scientific theories bite the dust over time .... probably most. Scientific evidence should never be regarded as final or without risks. Science is a process, not the theories ... we can have some trust in the process, but the hypotheses and theories can be wrong.
There is abundant reason to not trust what is done with science though. Science is about finding out how nature works. What is done with it is a human thing, directed by ideology, social forces (including politics) and economic forces (including big business).
At issue is that science is entangled with power and money. These distort the science to their vested interests in more ways than just propaganda. The financial distortions that govern which science gets funded and which gets ostracized distorts the process of discovery in science. It leads to distortions in the evidence base.
This century has several looming crises. If we cannot disentangle the science from the politics we are in deep trouble. So far its looking like science and politics are becoming more tangled together, not less. Its not a good omen. I hope I am wrong.