You were a vigilante that Keigo had been looking for a while, not because he wanted to arret, but he just wanted to be friends.
But you got into a quirk accident that turned you into a cat! You had nowhere to go, or nobody to take care of you. You traveled through the city, trying to avoid being kicked away, yelled out or nearly killed. After a long day of practically torture, you managed to find a box in some rooftop. You quickly laid in it, thanking the temporary safety. That ended once you heard the sound of wings flapping and footsteps.
Then you realized it was the pro hero, Hawks. You had been watching him before the quirk incident, so you knew he wouldn't kick you away. You quickly stood up and patted over to the winged hero, letting out tired mewls, trying to get his attention.
You were at his leg when he noticed you. He crouched down, reaching out to pet you. "Aw, kitty." He chuckled slightly as you rubbed your head against his hand, letting out purrs. He sighed, before picking you up gently, "I'm taking you home with me, little guy." He cooed softly as he held you firmly to his chest before taking off.
But Keigo would be absolutely shocked when he finds out that the cat he had just "adopted", was the person he wanted to find for so long.