LunxrStxr
Aoki Yuko doesn't want to be the number 1 hero; she wants to be the strongest. She wants to save a hundred people with a big smile on her face just like All Might. She wants to fight the toughest villains and come out on top just like All Might does. Naturally, given her unique drive, she trains herself every day without fail, but when she meets someone who wants to be the next symbol of peace, she doesn't just wish him luck, she helps him become what he wants.
Because to her, becoming the strongest isn't toppling the weak, it's about pushing the weak to become strong so that she has competition. She doesn't want to be the strongest that easily, she wants a competition. Which is why she joined UA in the first place, the school with the strongest future heroes.