Axel may not think he is freezing, but that isn't going to stop Luna from gently encouraging him to take the warm liquid into his hands. The cold is no laughing matter, bothered by it or not. Offering him a smile, she gently pats his hands as if to say hold onto it, before she straightens up and turns to leave him be. She hasn't noticed his expression -- she's turned her gaze to the distance to take in their surroundings, and it's only when he speaks very quietly that she quickly turns to look at him again.

At first, she's not sure if he's actually speaking to her or if he's talking to someone else, but as she turns and sees his eyes fixed on her, she realizes that he is talking to her, and from the sound of it, he's mistaken her for someone else. Folding her hands in front of herself, she offers him a small, sympathetic smile and an apologetic bow in response.

"Regrettably, no. My name is Lunafreya, not Naminé. Forgive me, it was rude not to announce my presence and give a name earlier." Poor, dear man. She does hope she didn't get his hopes up too much, she can only imagine that seeing someone from home would certainly be enough to stave the cold and make this situation a little better. She hopes that whoever this Naminé is, that he can find her and reunite with her if she is important to him.

Pausing, Luna slowly lowers herself on the bench next to him, her hands landing neatly in her lap. "I'm sorry if I've disappointed you, sir."