Answer:
chateau
Step-by-step explanation:
A person can rest at something like a residence, castle, ...
A palate is the rooth of the mouth in humans and other mammals. In this context, answering palate does not make sense.
A chateau is the French equivalent of a castle. So this makes sense, and is the correct answer.
A rhapsody is a way of calling an epic poem, for example, which also does not make sense here.
So the correct answer is:
chateau