Well she's in his age range so it's not super ick.
She could just let him down gently by saying she's a responsible woman and has a duty to her late husband's house and that she has no time or inclination for romance.
So far I really like that the main couple's relationship is solid and the danger come from outsiders. Unlike a lot of other "dramas" where the LM is a part of the problem.
My first thought to when she was allowed an interview was "Oh cool he accepted her." Then immediately remembered that this is is a drama and that he's probably going to assault her.