Responses
I'm guessing that as Dian theorized, the soldier from the story (who might be the ML, who seems to be immortal)was in love with the fairy queen. And upon hearing that a lady who was named after and looked like(silver hair) the fairy queen/moon goddess, he was intrigued. Especially after said look-alike said she loved him.

I didn't quite follow. So the ML is really in love with the FL, or else why would he blush and act like a puppy urging her to stay? But if yes, why was he indifferent at first? Tsundere? What what?? I'm confused.