Nensu looked up when she heard Midoriya’s response, and she couldn’t agree more that it would be said at such an odd time. But then, she felt like she needed the assist, both mentally and physically, even if her father was present. It was only an offer, so she wasn’t going to pressure him, if he didn’t want to. 
“It’s okay if you say ‘no’. You don’t have to”, she said, but deep down, the girl felt the need for his presence, just to stay calm. When she heard Reocvery Girl, though, it did surprise her and make her blush a little bit. 
[i]’Whoa! Is everybody assuming that about us?’[/i], she mentally thought.