it's funny because I could see him developing a crush on Lucy. he's easily susceptible to pretty girl talked to me uwu syndrome. but he probably wouldn't act on it, especially if/when she and denji become a thing. he will be in line to give him the shovel talk tho.
and ngl Izuku is the kind of person she'd be incredibly intense about protecting because he's kind and altruistic...if she ever saw him working as a hero, she would def see him as a hero she can believe in