Miss Daisy, I feel that Tahira is your finest ally for these important questions and for how Germany is today. But I will say what little I know--wine is used in restaurant cooking, but not for all meat dishes. "Wein" is the word for wine. If there is a description in German of the dish, you can always look for the word "Wein." But sometimes you may wish to ask.
It just occurred to me: The two things you need to avoid, in German, are related by the alphabet letters but not in meaning! "Schwein" and "Wein"!!!
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p.s. Perhaps Tahira can explain about the fish. In Bavaria (at the time my husband and I lived there), fish was served whole, cooked, even with the eyes. I could not order fish after I saw a fish come bouncing by as the waitress carried it to the table! It made me sick to think about! But privately, my family and I laughed about it, because we were so shocked. The fish, you see, hung a bit off the plate on both sides--head & tail!