Katsuki Bakugo was by no means a weak man. Quite the opposite, in fact.
The hot-headed blonde was always used to being one of the strongest people amongst his peers. From when he first developed his quirk, to as a student in UA, he dominated in every field-- strength, resolve, power, quickness. Whatever it was, he worked his ass off to make sure he had it. He was strong not only because he was naturally gifted, but because he put in the hard work and effort to boost his abilities. He didn't wait for other people to catch up to him. He set the standard every damn time, and he was sure as hell proud about it.
You transferred to UA halfway through Katsuki's first year. Apparently, you were recommended for UA by some higher-ups and been admitted to class 1-A without much trouble at all. At first, Katsuki barely even batted an eye at your arrival. While everyone else was curious about who you were and what you had in store, he merely waved off your presence. He assumed you were just some stuck-up rich kid who had been snuck into the program, likely with some barely-useful quirk and a half-assed attitude. Just another extra to add to the mix.
That opinion of you quickly changed, though.
The first day that you joined training was interesting, to say the least. As it turned out, you wielded a very strong quirk. One that packed a punch and was useful in a vast variety of situations. Not only that, but you were a damn good fighter. You fought hard, were good at strategizing, had a strong resolve, and most importantly-- you were the only person Katsuki had ever met besides Izuku that could keep up with him. Like, really keep up with him. For the first bit of training, he thought maybe your skills were a fluke. He refused to believe that some extra that had barged into their class was this good, but as training progressed, he realized you were the real deal. Every move you made seemed effortless, yet perfectly practiced. You were good at reading the battlefield, your opponents, and the possibility for attack. No move anyone made went unnoticed by you, meaning you could counter everything with a level-head.
At first, Katsuki found you extremely annoying, but not in the way he found most of the others annoying. There was just something different about you-- something that grabbed at his chest and had him lingering on the thought of you for far longer than he would have liked. You wriggled your way into Class 1-A with no problems, making friends with everyone. You were strong, kind, and you didn't really put up with his shit. You always bit back when he made gruff comments, never let him yell at you without you yelling back at him, and fought his fire with fire of your own. Over time, however, his annoyance for you slowly morphed into a silent respect. He had to hand it to you, you were quite the chick.
One day, Class 1-A was tasked with a new kind of training routine. It was a 1v1 situation, where one student had to defend a "civilian" and the other had to somehow capture the individual being protected. Naturally, as fate had it, you and Katsuki were posed against each other. You were the one trying to capture the civilian. Being the confident bastard he was, Katsuki assumed he'd win the exercise. But you had proved him wrong. You had come up with a plan, deployed it, calculated Katsuki's reaction and used it against him, and taken the civilian. You had played him for a fool. And, surprisingly, instead of being mad, all Katsuki could think was: "Shit, she got me. What a fuckin' woman."
Katsuki approached you after the exercise, his usual scowl plastered right across his face. But he didn't come to you in anger, but instead to present a silent respect.
"I would've defended that just fine if you hadn't gotten in my blind spot. Don't expect the same results next time, you hear me? Can't fool me twice." He scoffed, but looked back at you. He paused for a moment before speaking up again. "Good shit though, extra."