MHA x Tokyo Ghoul: Fem Izuku

Entrance Exam and a run-in with Eraser

On the day of the entrance exam, Izumi and Eri made their way up to the spectator's room alongside All Might, the one who recommended they come and watch, they enter the room only to be welcomed by a multitude of stares from the heroes in the room.
"I trust this is Miss Izumi Midoriya, All Might," Nezu said rotating his chair to look at the tall young lady with white and green hair carrying a small child with silver hair on her shoulders,
"Yes, Principal Nezu, and her Adoptive daughter," All Might replied, "Izumi has a student of her own in the exam, Katsuki Bakugou."
"I'll take it from here, Mr Yagi, Katsuki Bakugou, Quirk: Explosion, the sweat on his palms is like Nitroglycerin, which he can explode at will, unfortunately, it affects his behaviour and attitude, making him aggressive," Izumi said giving the basics on his quirk.
They watch the physical exam until the Zero pointer robot was activated in the fake city where Bakugou was.
"I wonder how he's going to deal with that large enemy," Izumi said intrigued by the situation.
They all watch closely as he saves a brown-haired girl from a pile of rubble and turns to face the building-sized robot. They hear him yell "Ukaku Blitz" as he fires Dozens of small pointed explosive projectiles into the robot in the space of a second only for them to explode a few seconds later, tearing the Zero-pointer to shreds, the Heroes jaws dropped as they only knew two heroes capable of doing something like that easily and one of them was in the room. "HE TOOK INSPIRATION FROM A GHOUL'S UKAKU!" Izumi shouted not knowing that he would do that.
"What do you mean a ghoul's Ukaku," Nezu said confused,
"Kat grew up wanting to meet a ghoul as he found them interesting, the first one he met had an Ukaku and fired some of the crystals before running away, the ghoul saved him that day and left," Izumi said, subtly lying through her teeth.
"Oh, so that's his way of honouring his saviour," Nezu said understanding
"Yes," Izumi said secretly proud of herself.
"Since he has automatically passed the exam due to his heroic actions and power, I would like you, his mentor, to give him his acceptance letter,"
"Sure, I'll give him his letter, but I'd like to tell you something without any eavesdroppers, Nezu," Izumi said.
"Sure we can talk once the exam is over, and would you look at that the exam is over," Nezu said agreeing to her terms, as the other heroes left the room.
Once the heroes left, Izumi explained how she and Eri became mother and daughter, how Katsuki is a childhood friend to Izumi and like an uncle to Eri and how she wouldn't mind being an on-call training instructor for 1-A, just for Aizawa. (This was a subtle way of spiting Aizawa for chasing her as Lamia). Nezu listened and shared her number with Aizawa and Izumi went to give Bakugou his letter.
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Later that night, Eri was having her first outing as a vigilante alongside Izumi.
"Don't refer to me as Mum or anything other than mama or Lamia, okay," Izumi kindly said to Eri, "I'll call you Snowflake or Fukuro instead,"
"Yes, Mama," Eri said putting her full-face owl mask on and then getting on Izumi's back before She jumped to another building's roof.
Once they landed on the roof, Izumi searched around for a target as the two ghouls were running out of food and were on the verge of hunger-crazed, a tragedy for a ghoul, they had found a man trying to force himself onto a young woman about the same age as Izumi, this disgusted Izumi because it very nearly happened to her at the age 13, she killed the man and ate most of his body leaving scraps like his hand, feet and parts of his legs, arms and torso.
They jumped down, and Izumi ordered Eri to get the girl out of the alley and to safety but not the girl recognised Izumi's mask and said "thank you, Lamia." Eri returned to Izumi and walked up to the pervert as both of their Kakugan activated,
"W-what are y-you," the Pervert said tripping on his words as Lamia pulled a crystal from her now active Ukaku.
"A hungry monster," Izumi said slitting his throat with the shard.
"You're not a monster, Mama, you saved me from the bird man, you care for me," Eri said hugging Izumi's leg, which forced her Kagune to retreat
" I know Snowflake, I said that because that is how human society sees ghouls," Izumi said as she bent down to pick her up, then she started to drag away the body at high speed, she dropped the body off at their home and returned to the alleyway within five seconds as they did not live far from their patrol routes. Eraserhead was near when they jumped onto the roof across from the one he was on, he noticed a smaller figure wearing similar clothes to Lamia standing next to them until they turned to face him and then jumped to meet him.
"Mama, who is the man," Eri said looking at Eraser through her mask.
[I knew it, Lamia is a woman, it just makes sense as all of their targets are men], Aizawa thought.
"Eraserhead, I thought I told you to stop following me and trying to catch me," Izumi said in an unrecognizable voice as her mask muffled and changed the pitch of her voice unless it was unzipped.
"I can't, I want to protect from the shadows," Aizawa said activating his quirk to try and prevent any antics involving quirks.
"Fukuro, do it now," Izumi said.
Unfortunately for him, Izumi had secretly told Eri to hurt him a little, maybe with a couple of bruises and some broken ribs. Eri dashes off Izumi's back and kicked him three times, once in the leg, once in the chest, and once in the head, which forced him to stagger back, he then tried to catch Izumi in his capture weapon, but she weaved out of it to his surprise before she pulled on the extended portion of it and made him faceplant into the roof, she then cracked one of her fingers with her thumb (A habit she had obtained from a year or so of self-cannibalism due to hunger), kicked him one more time and run away with Eri on her back.
They ran back home to eat and sleep because by that time it was already 3 am and they slept till noon. They would last for another two weeks.