Complex sentence: Sadiku presses on, dissembling that Baroka has sworn not to take any more wives after her and that she would be his favourite and would get many privileges, including being able to sleep in the palace rather than one of the outhouses.
Split into simpler sentences: Sadiku presses on, (lying) to her that Baroka swore not to take any more wives after her and that she would be his favourite. As favourite, she would get a lot of privileges, including being able to sleep in the palace and not one of the outhouses.