I think he finally realized that he wants the king all to himself, but then he shouldn't take him away from everyone else. He talked about the basking in the sun's rays in the last chapter and mentioned how he should not get conceited because he is not the only one basking. He then mentioned how he should keep the windows clean so the sun can shine through (to others). I think the reason for mentioning finding a queen is so the king can produce an heir for a long lasting empire. Shin loves the king, but is trying to not be greedy.
Hope that makes sense. That is my take on it. It's so sad to see shin's choose between his head and his heart.
So question.... is Shin just wishing his Majesty to marry a woman, even til the very end?