It's been a while, but the premise is the MC wants to divert attention from the princess to herself (to spare the princess shame). On the character screen, there should be 2 numbers at the bottom. I think the green one is yours, and the red or yellow (I forget) one is the princess. Either way, if the bottom one is higher, then more are watching the princess than the MC. You want to get more "views", so go around getting hit by traps or whatever, and your views go up. Once your number is higher, it should let you into the inn.