doesn’t mean just someone who has for example political power, some government ministry or something like that but it can be an “authority in the field” or “authority in the subject” which usually comes through their expertise.

That’s the thing though, It very well can be and often is just a government minister without experience. The Authority in appeal to authority doesn’t dictate whether something is fallacious. Its whether or not utilizing their authority as evidence is logical or not.

The example on Wikipedia isn’t a fallacy because he was an authority/expert. It was that using personal testimony isn’t how you logically determine scientific fact.

just sounds like you’re describing what I’ve said earlier. It’s not logical proof in itself but can support it. Not sure where we disagree.

Because you can’t logically support proof with a logical fallacy. Meaning that expert testimony that logically supports an assertion is not a logical fallacy.