I'm a fan of Himiko Toga so I thought why not make a story about her.

This is the story of Y/N (Your Name) Midoriya, who is the older brother of Izuku Midoriya. You are part of a Top Secret Military Organization called Elite Ops, an organization concerned not for the fate of the nation, but for the fate of the entire world. Even though you came from the Hero Academy, upon observing your quirks and abilities, it was determined that you were the potential candidate to be part of a military force that's kept top secret without public knowledge. Why were you selected? This is because you had quirks that were nothing like those of the Hero Academy. In fact, you had quirks that were god-like, which is very rare to be born with. With your quirk, you could use your 'glare' to influence peoples' minds, manipulate space-time, and conjure elemental powers and objects at your heart's content. You could also do much more than that, hence the term 'god-like.' Even throughout your quirk meditation, your quirk abilities have increased and strengthened, allowing you to develop your quirk in such a way that even All Might himself can't defeat you. Lastly, you were also part of the Top 3 most powerful quirk users known to your organization, with you being #1 at the top. Following this, your organization became aware of a hostile invasion not from this world, but from above. This is where your story begins, and things start to change... Just to point out: Y/N doesn't exactly have to be your real/initial name. It can also be any first name you pick for your character.

After a massive villain attack that the girls got stuck right in the middle of Momo finds a boy her age lying on the floor unconscious. This boy is taken to the hospital after the attack and when recovers is discovered that he has a very dangerous Quirk and is sent to live at UA due to this quirk and him being homeless.