I do not get what she means by playing. Will she give him a ball to toss or something? I mean I don't think she even asked if he has a hobby.
Maybe reading or sword fighting is his hobby. IDK and neither does she apparently.
That guy will be targeted for his life and if everything goes according to her, he will be the one killed instead of her. Ain needs to know how to defend himself, overcuddling will not help his survival at all.
Sometimes, I wish that I could summon a male interest in my life, just like in these mangas. I would even make it easy for him, no need to conquer a kindom, just me :P