What you should’ve done instead is apply it to Engels’s widening of the term “authority” to mean things that don’t fit into a fruit salad, any more.

Ok let me do it now since youre dense: Authority encompasses "granted authority". Granted is the qualifier. Authority is the category. Authority being defined as:

Authority, in the sense in which the word is used here, means: the imposition of the will of another upon ours; on the other hand, authority presupposes subordination. Now, since these two words sound bad, and the relationship which they represent is disagreeable to the subordinated party, the question is to ascertain whether there is any way of dispensing with it, whether — given the conditions of present-day society — we could not create another social system, in which this authority would be given no scope any longer, and would consequently have to disappear.