Ok, we all know that this princess of Enha is going to fail miserably, but I expect some good court intrigue from this one.
Yes, Yuurin has finally been accepted in the palace for good, but only as a consort, not the official queen. Since polygamy is a thing in the kingdom, the conflict changes. Nobody will ask his majesty to kick Yuurin out anymore, but many will raise a point that will feel logical to most: why not taking more wives? Not just for having heirs, but as one of the most popular and useful diplomatic arrangements for thousands of years: the political marriage between nations.
Minister Han suggested something like that when he changed strategies: instead of using his daughter to antagonize Yuurin, he wholeheartedly approved of their new close friendship. Why? Because he, like many others, probably expects the king to take more wives in the future, and being friends with the first consort will be a plus for those smart enough to realize it.