Final answer:
The king feels profound anguish and regret after adding Imoinda to his harem, leading him to leave the city in self-imposed exile. This scenario induces pity and fear in the audience, resulting in a cathartic experience.
Step-by-step explanation:
The emotional state of the king after forcing Imoinda into his otan, or harem, is one of profound anguish and regret. The narrative indicates that the king felt heartbroken, a sentiment that culminated in his decision to leave the city in a self-imposed exile. It is through this experience of the king that the audience is invited to feel pity and fear, emotions that are then purged in a cathartic manner.
This reaction is reminiscent of the emotional purging Aristotle described as the intended effect of tragedy on its audience. Separately, the inquiry about the harem visits by the narrator and her impression thereof, alongside the reference to Hurrem Sultan's power, serve to highlight the intricacies of royal courts.
However, the given text snippets seem to reference various sources and contexts unrelated to the specific emotions of a king who added someone to his harem. As such, it is unclear from these snippets alone how directly they connect to the question posed about the king's feelings.