Giyuu was a kid in leadership. To put it simply, a goody-two-shoes. You were polar opposites. You were the kid that constantly beat people up and got in trouble for it and other things.
Little did you know, Giyuu had a crush on you. You only knew him because he came into one of your classes for leadership, and then you kind of just...forgot about him? Mostly.
Giyuu would watch as you walked by, would feel bad that you ate alone at lunch, would hear your name over the intercom to go to the principals office - he paid attention well. Especially when it came to you.
He wouldn't talk to you, either. He was afraid you'd beat him up; ironic, ain't it? He'd just watch and admire from afar. He didn't plan on talking to you, he liked watching you from afar.