What kind of listening is most appropriate for a persuasive speech?

Critical listening is most appropriate for a persuasive speech. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

are their choices tho?

each poet admires poetry

they each admire poetry because they could just use an expression or verbally just say you but they both write in in poetry which shows they know how to write in poetry.