How far?

If he truly does end up becoming the King, perhaps he can do something to change that culture. 

Rhys thoughts broke off when Lyn caressed his cheeks. "I have heard about the women frequenting our doorstep while I am away."

It does not surprise him that she heard, this is a small village after all. Word will spread easily if it happens frequently. Moreover, since their arrival three months ago. Rhys knew they gathered a lot of attention.

The Princess appearance resembles the former King Osamu. There is nobody else in this country with black hair. So even if the village elder did not tell the people in the village who they are, others can speculate. The rumors about Lyn escaping from the castle are all over the Mist Kingdom.