[action]
[Well, he is uncomfortable with getting close to girls in general. And yes, that's part of what he's blushing about, but it's also the fact that he may like Rei specifically, and he's this close to her.
Pushing that fact aside, he wraps his arms around her and gets them moving. No balance issues yet. Hopefully this would help her to be on her own. That way he might be able to stop blushing so much. Because it's not getting any better now that they're so close.]