Okay this is the MOST overrated ship in the fandom. To be honest I don't ship it, okay let me list why.
-Both parties are not gay/homosexual
-Both haven't shown any interest in each other
-Both are only friends, I get that many people ship this because of the sport festival arc. The "its your quirk not his!" made the ship spark. which I understand, but both are kinda considered rivals in the hero business. Yes both have hung out held hands and Todoroki has stared at midoriya like a creep, but none have shown any attraction to each other (っ◕‿◕)っ ♥
here:
Izuku was the breaking point that he helped Shoto embrace himself, not by making him give into his father's will, but by making him realize that the connection between the quirks of a person and their parents are not what matters most, but being able to recognize it as the quirk that they as a person have. Midoriya even being super shy faced Hero Number 2 (father of Shoto) to defend the Todoroki. One of the most iconic lines in the show stems from this scene, "It's your power, isn't it?!". Izuku helping him during the fight, even knowing that Shoto was only using half his power and would most likely beat him when accepting his fiery side, was a sign that Izuku cared much more about helping Todoroki than winning.
After the fight, the two became closer, creating a strong bond of friendship. Then Shouto started to show less difficulty in approaching people and demonstrating how he feels. Izuku began to strive even more to improve his individuality as he becomes more confident.
During Todoroki's fight against Bakugou, seeing that Todoroki due to the emotional state could not use his full power, Midoriya shouts in the middle of the audience "Don't lose! Do your best!" Todoroki listens and feels something that activates his firepower, but in the end, Todoroki cannot maintain the fire and because of the defeat, Bakugou does not accept the victory.
After the cavalry battle, Shouto told Midoriya everything he thought, both his past and his suspicions, and after all, both accepted their rivalry, with Bakugou listening between the two.
In the Vs. Hero Killer arc, Izuku was stuck in a bind while attempting to save Tenya Iida from "Hero Killer" Stain. This caused him to secretly send out a signal to his location on his phone, which Shoto-- although hesitantly, questioning whether he would really be in trouble- was the first and only one to comply and come to his area. Showing that despite not knowing each other for long, they have a deep understanding of each other, along with the fact that despite the Hero Killer not being an immediate threat to Midoriya's life instead being Tenya Iida the one in danger of dying, Todoroki still knew something was wrong and left his father and everything behind with the initial belief that Midoriya was in danger/something was wrong.
Later on during the aftermath of the fight, Shoto became angry on behalf of him and his friend Iida for having trouble against the law despite the fact they stopped a serial killer-- showing both his moral strength and how important Midoriya is to him along with Iida.
During the Forest Training Camp arc, Midoriya is shown to be in a bind concerning what to do with Kota Izumi, given how the child seems to hate heroes and Midoriya always wanting to help didn't know how to handle the situation that wasn't in an intrusive way to the child. So, later on Todoroki notices Midoriya's concern and Midoriya asks for his advice, showing how much he trusts and respects Todoroki's words. Todoroki because of this reminiscences of how Midoriya saved him by getting involved with his problems when he didn't ask for it, and tells Midoriya that words should always be accompanied with actions with the quote: "Even he's told all the right things, if you don't know his background then you'll only succeed in annoying him" along with "The important thing is, what the person who's saying it has done...and what they're doing now. I think that words are always accompanied with deeds.", In which Midoriya smiles and agrees with Todoroki.
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My opinion on bnha ships
FanfictionThis is just my opinion, feel free to comment if you disagree. I will try to reply if I can. #1 in TogaTwice