Between the two options, I would certainly trust an epidemiologist over an elected politician on the topic of epidemiology, and I have a hard time understanding the cognitive dissonance that allows people to get to a state of "we have to trust our governor because governments lie." It's not like the governor isn't part of the government.
But formal logic assumes absolute and understandable truth or falsehood of facts among all parties. In terms of data analysis and interpretation, especially when both involve parties that lack the skills or training to do these things, trusting authority is likelier to generate positive outcomes than trusting one's gut or one's untrained analysis in most circumstances.
In general sure scientists can be wrong, even in fields they are experts on. But overwhelmingly they are not.
Also as I mentioned, and you did not respond to, all of us use appeal to authority probably multiple times every day. One example is that most people go to experts to see help, for example lawyers, doctors, dentists etc. The other is that it is common at work to have an expert resolve an argument. It would of course be better to research 100% from first principles every time, but that is just not feasible to do all the time.
Hope that clears it up. Next time it would also be more constructive to bring your own arguments, not just say "appeal to authority". Logical fallacies are pretty often quite nuanced and it is very easy to use them incorrectly.
We don't toss gravity out the window because Einstein refined Newton and found cases where Newton's laws give the wrong answer.
If so, then no, you don’t take the CDC seriously. You only take them seriously about Covid, probably because their advice on Covid matches your priors.
Their job isn't to give you guidelines to strictly follow, it's to give a pessimistic take that someone else can use to plan tradeoffs.