An appeal to authority would be 'My logic is more valid than your logic because I have done a class in formal logic.' To say 'If you have never learnt logic, have no desire to learn logic, have no understanding of logic and see logic as pointless, then you are unable to effectively critique anybody's logic' contains no appeals to authority at all.
Basic logic is useful in most fields, including both Physics and English. A course in formal logic is also useful in most fields. It is helpful in constructing arguments. It is very helpful in learning to be concise and coherent when presenting arguments. As part of a uni curriculum, the main fields that will require you to know formal logic to some extent are philosophy, maths & programming. In depth knowledge of formal logic isn't required for most physics courses. Basic knowledge of underlying concepts in logic is.