For this problem, I would say your answer is the third option, to understand him or her better.
Critical listening is listening in the moment and truly comprehending what someone is saying as they are saying it. It’s used to simply understand someone’s speech better.
The reason why I don’t think it’s the first option is because “aesthetics” and “artistic elements” aren’t usually involved in speeches unless they’re poetry or something similar. For regular speeches, though, I don’t think they really involve this kind of thing. For the second option, I don’t think you really listen to put yourself in someone else’s shoes every time you listen to a speech, depending on what the writing wants you to do.
The last one is close, but not quite there. You critically listen in order to determine the supporting/main details of a speech to evaluate a message perhaps at a later time, but you don’t usually do that while you’re listening to the speech. You want to establish the content in your mind or on your paper before you try to analyze it.
Hope this helped you out! 🙂