What do I have the Queen do to have a deep conversation?
Welcome to the forum, alabamldy. What quest are you doing? If you supply a bit more information, that may increase your chances of getting an answer. If your queen has to have a deep conversation with someone as a quest step, and the option to have a deep conversation isn't coming up for you, I would try raising her relationship with the target sim. Have her do more friendly interactions and see if it comes up then; you may have to get them to the Good Friends or Best Friends level.