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

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Shoto's pov

I walked into class, the strap of my bag held tightly in my hand. My chest loosed the tightness it had been stuck in for the last few days when I saw Tamaki. She was sat at her desk and although she had bandages wrapped around her neck. I walked to the back of the classroom, settling down in my seat. Tamaki had previously been leaning her head on the table but she moved her head to look at me when I sat down. 
"Hey" I mumbled. She blinked before lifting her head up from the table. A few strands of hair fell into her face.
"Hi" she replies, fiddling with her hands.
"Its been a while" she nods.
"Yeah..... Dad told me that you were there.... thanks" she mumbled, looking down at her desk. My heart thudded against my chest.
"Its what friends do right?" she looked at me through locks of hair. 
"I guess" a small smile decorated her lips. My face got warmer. I rubbed at my cheeks with my right hand to get the feeling to go away. I had to turn my attention onto Mr Aizawa when he began the class. We all had to head to the changing rooms for our hero training. I dropped my bag on the bench and started pulling off my blazer.
"So Todoroki, you sucking up to Mr Aizawa's daughter?" Kaminari shifted closer and lifted his eyebrows up and down.
"I don't understand. I'm not sucking anything" he groaned.
"I think he means you two are getting close" Sero corrects.
"That's what friends do don't they"
"Aren't you on a first name basis?" Midoriya began muttering to herself.
"Tamaki gave me permission to use her given name" 
"She calls you candy cane dude" Kirishima had pulled off his shirt at this point.
"Because she finds it easier than my name" 
"Are you sure you don't like her?" Kaminari leans closer.
"Of course I like her. We're friends" Kaminari groans.
"I mean like like you know" he nudged my shoulder.
"No I don't" 
"Kinda like how parents love each other"
"My father put my mother in a hospital" everyone went quiet for a second.
"Ok let's try again. Remember when we went to see that movie?"
"Yes" 
"Remember how Amajiki and Togata were with each other" I gave it some thought. They were very fond of each other. I remember them sharing some of their dinner with each other and having moments where they just cuddled and kissed.
"Yes"
"Do you think about doing anything like that with Aizawa?" I thought about it. I wasn't apposed to it. But did that just mean we were good friends.
"Isn't that what friends do?"
"No.... Wait. Why would you say that?" 
"Aizawa and I have cuddled before" everyone looked at me with varying forms of shock written on their faces.
"What?"
"Like just a quick hug" Midoriya asked with a tilted head.
"She fell asleep on my lap in a supply cupboard" More wide eyed expressions.
"What were you doing in a supply cupboard? Was this the day the two of you missed your afternoon classes" Iida was waving his hand around.
"It was more important than classes and we were just talking. Tamaki wasn't feeling good so I let her take a break" I didn't understand why everyone was reacting this way.
"Todoroki. Quick question. Would you date Aizawa?" I tilted my head and thought about it. Tamaki was nice and I enjoyed her company.
"How would I know?" 
"Well, usually you'd get flustered around her, lots of blushing, you're heart speeds up and your stomach gets all fluttery" Midoriya explained. I gave it some thought. I felt like that around Aizawa. Was that the reason? 
"Oh" Someone slung an arm over my shoulder when I had pulled off my shirt.
"Hey Todoroki. If you need any help then I'll be sure to give you tips on asking her out" Kaminari chuckled. Bakugou snorted.
"If you give him advice then Mr Aizawa will be giving us extra homework for the rest of the year" he snapped, pulling his gym shirt on.
"Kachan's right. It is a bit troublesome to think about since Mr Aizawa is her father and if things go bad then you might be in his bad graces for the rest of our time in school" Midoriya was mumbling to himself.
"Why don't you just find out what she likes? Everyone has something they like so Aizawa has to have a favourite pastime" Kirishima approached. 
"Good idea. Has she told you anything she likes?" I thought back on it. 
"I know she likes coffee, her brothers and she doesn't like horror movies. That's about it" Kaminari hit me on the back.
"Don't worry about it. I have the perfect idea"
"Can I put my shirt on now?" he removed his hand and raised both. I didn't say anything, just pulled my shirt on over my shoulders.