[Rock Lee is contented by her assurance for the most part and nods, although he himself is one who will easily feel bad about potentially upsetting others.]

Perhaps... I still feel that I should have known better. But, thank you!

[And he smiles at her confirmation, even if he's a little confused at the same time by what seems to be a light hesitation.]

Is that so? Well, it is a very nice name. It is a pleasure to meet you, Namine-san! [His smile grows brighter, and he raises a thumbs up in greeting!] My name is Rock Lee! I am Konoha's Beautiful Green Wild Beast!