If only memories could be erased (Shoto Todoroki x oc) Rewrite

Quirk Aprehension Test

Shoto's pov

I changed into my P.E uniform and walked out onto the field. I walked up to the back of the class and ran into someone since I hadn't been watching where I'd been going much. I look at them. A girl with long black hair turned to me.
"You need something candy cane?" she asks with a sigh. I blink at her statement. Candy cane? Wait, have I seen her before.
"I didn't want anything" I state, turning to look ahead of me. I heard her mutter under her breath and scuff her feet in the dirt before looking up when our teacher started talking. I listen to what he tells us. One by one, students are told to throw a ball. When my name is called, I put as much power into my right arm and use my ice to help propel the ball up and forward. Mr Aizawa clicks his small device before reading aloud my score. I walked back to the group and stood where I had been before. The girl next to me looked at me for a second before turning her gaze forward again. She was called forward and handed a ball. She stepped onto the platform and held onto the ball tight and swinging her arm. She threw the ball without the use of a quirk. It didn't go too far, landing on the ground with a thump. She walked back into the ground, covering the top of her eyes with her hands to avoid making eye contact with anyone. She stepped back to where she'd been before.
"So, the candy cane uses ice" she sighs, loud enough for me to hear.
"If you're talking about me then stop referring to me as 'candy cane'. My name is Todoroki" I tell her in a hushed voice, leaning down to face her with an annoyed look. She turned her head to look at me, not breaking away from my gaze despite the goggles she was wearing.
"I'm really bothered what your name is candy cane. You're name is the least of my worries" I scrunch up my hands.
"I'm not a candy cane"
"Hair says otherwise" she states. I turn away and place my hands over my face, pulling them down from my face. She pulls her goggles up onto her head and rubs at her eyes before pulling them back down. I turn to face her.
"What's your issue?" I demand, still keeping my voice low.
"I have no issue with you. So please step away from me" she speaks with no change in her voice.
"Clearly you do if your acting like this" I point out.
"Is it something to do with my father. Is that what it is" I add. She looks at me again, tilting her head ever so slightly.
"I do not care about you or your father. But if your so willing to get in a fight with me then you should be careful" she states, not looking away.
"I could handle you easily. I'll prove it easily by freezing you in your place" I challange.
"I wouldn't do that here if I were you. Unless you want to get in trouble for causing a scuffle" she sighs with annoyance, gesturing towards two students that Mr Aizawa was attempting to stop from fighting. I look back at her.
"However. If you want a fight then feel free to find me after school ends. The gym will be free and it could be called quirk training if your so desperate to give me frostbite" she explains. I think about it. It would be very good to train my quirk on someone I haven't fought before.
"Fine" I agree.
"But I won't take it easy just because your small or a girl" I object.
"I'm not bothered about that. But an early good luck candy cane"
"Stop calling me that"