Technically a doodle since it only took me 2-3 hours to finish.
I know Horikoshi drew him as a girl with short hair but I like to imagine it longer, fluffy and styled like his mother's.
Not entirely sure how big of a difference growing up quirkless as a girl would be and how much that would've affected her once she entered UA but, again, I'm no author so I'll keep it simple:
As per my headcanon, she's still roughly the same with ofc more feminine mannerisms and I reckon there'd be some differences with her fighting style/patterns even when she's trying to imitate All might (bc I know I'd probably move different if I was a guy). She's still bestfriends with Iida and Ochaco but would also be closer to her other female classmates and would attend any scheduled hang outs with them unless it falls on a training day with All might or smtg--Girls night every other week or month once they enter the dorms.
Speaking of All might, he's already doting on male Izuku but he'll probably be even more protective if he was a girl (doesn't help that he's reminded of Nana when he sees her hairstyle). Aizawa doesn't believe in the notion that girls be automatically coddled bc of their gender but I'm sure after getting to know his number one problem child, he'll low-key be more sweet on her than the rest and is extra harsh during training bc he wants to make sure she can protect herself.
Izuku is exasperated but also appreciates it and would indulge them bc they're her dads.
Self indulgent thought: She has her hoard of admirers (villains included) but is extremely dense and anything but a blunt no nonsense confession to her face will be perceived as a reach out for friendship. Katsuki is her guard dog in these matters bc he definitely likes her but is being stupid about it, understandable considering their still unresolved-complicated past, so he takes it upon himself to keep away other dunces who think they can get lucky. Shouto and Hitoshi have a pass bc they're her friends, but he keeps an eye on them just in case.
Self indulgent thought #2: as a girl who grew up quirkless, she's def more sensitive when it comes to sa/ppl generally taking advantage of others and so would've snapped and had Mineta expelled on the first week, if not first day of class. That would've opened up a spot early for Hitoshi to join in. With Izuku's power of persuasion to wear down his i-didnt-come-here-to-make-friends stance and Hitoshi finding out that she was the reason for him getting into hero class so soon? The guy was an instant goner and never looked away since. The todoroki vs deku fight during the festival is a fixed event in my hc so Shouto fell in love there.
Izumi, presenting her new project to the rest of her class: This is the new future! Holograms can physically touch you and there will be 12 cases of homicide committed by Hatsune Miku.
Some random student: Just 12?
Izumi: It will be 13 if you don't stop asking questions.
Izumi had never before in her life ever seen this man before her at the dinner table.
Her mother knew this man although her demeanor had changed drastically in a matter of seconds. Before, this single mother was just serving a plate for her daughter before suddenly serving another plate to a man that just suddenly appeared.
Like a puff of smoke, almost like a magic trick of sorts, he wasn't there but now he was!
So Izumi ate her Katsudon quietly as her mother chatted with her ‘husband’ fondly over her daughter’s achievements this far. Izumi has become remarkable in physics lately and will be getting a reward for it soon much to their excitement. They were so proud of her and just when Inko turned over to see her daughter's reaction, Izumi immediately brightened up to share the same excitement.
Inko had to excuse herself from the table as she had to get something quickly. And as she passed through the hallway into her room, Izumi immediately dropped the act and looked at the man with cold, dead, eyes.
“Who are you?”
“Me?” The man asked while finishing his plate, a bit of scrap traveled down his chin before he cleaned it off with a napkin.
Renho FINALLY has a concrete character design (took long enough). I made her slightly older in this concept because drawing is not longer my forte (curse you, natural aging process and lack of practicing). anyway, you can read some about Yagi Renho in my AO3 story below (last part of a series, but can be read as a stand alone future Fem!DekuMight fic):
The savviest of scalawags has finally shown their true strength in an artistic battle! Kacchan and Deku have decided to respect youseimanami's triumph by displaying their beautiful works for the crew to see!