MHA x Tokyo Ghoul: Fem Izuku

Introductions and Training for UA

The Afternoon after the rescue, Izumi decided to introduce the Bakugous to Eri, her new Adoptive daughter.
KNOCK! KNOCK! KNOCK!
The door opened and the pleasant face of Mitsuki welcomed the girls in without saying a word or noticing the small girl clinging to Izumi's leg.
"Come on, Moon Glitter, let's get inside," Izumi says to Eri urging her to follow her in.
Eri follows behind Izumi but is scared of the Bakugous because their home life is a bit chaotic.
"So who is the little girl that seems to be clinging to you," Mitsuki said pointing at Eri
"Oh, this small bean," Izumi said picking up Eri, smiling, "she's my daughter,"
"What!!" The Pomeranians said in unison, Izumi covering Eri's ears because of their volume.
"The attack on the news, Shie Hassaikai base, assaulted, everyone dead, a few members partially eaten, and an absolute blood bath," Izumi said reminding them.
"That was you, you're Lamia, and Eri is the little girl you saved," the Bakugous said shocked.
"Also both I believe Eri has something to show you," Izumi said grinning with anticipation.
The mother and daughter turned towards the family and activated their Kakugan, opposite eyes changing colour to black and red.
"Oh, she's a One-eyed Ghoul just like you," Katsuki added
"Yep," Izumi smiles.
The teenagers and Eri walk to a secluded spot where Eri could safely release her kagune without prosecution,
Izumi instructed her on how to turn her Kakugan on and off, which was like flipping a switch, and how to activate her Kagune, which was like opening a door.
Eri activated her kagune after a few tries and it stunned Izumi with its size, a large Koukaku wing grew from each of her shoulders while a pair of exceptionally long Rinkaku tails burst from her back and whipped around viciously as they extended 50ft or 15m in front of her forcing Izumi to manifest both her Ukaku and Rinkaku at the same time to block the Eri's kagune from hitting Bakugou.
After Eri's kagune calmed down and floated undulating, Bakugou took the opportunity to compare the ghoul's kagune.
"So you two both have Chimera Kagune, both have tails, Izumi has Ukaku while Eri has two Koukaku, also they are different colours, Izumi's are red with purple edges and highlights and Eri's are a cream colour with red accents," Katsuki said quizzing while Izumi nodded to all of them.
The two ghouls deactivated their Kagune and Kakugan and went back to the house with the Explosive child, discussing how they were going to train Katsuki for UA and they decided to clean a beach near Mustafu city.
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At the beach that was covered in rubbish, Izumi made it clear that there would be very little quirk usage during the training. Bakugou would have to move all of the larger bits of rubbish, such as broken washing machines, dishwashers, microwaves, etc.
About two months into the training, a 7'3" skinny blonde man and his apparent apprentice walked across the trio, the blonde lifting and pulling things while the white-haired girls were sitting on a bench nearby drinking coffee from travel mugs.
"May I ask what you are doing here," the tall blonde asks Izumi
"Overseeing his physical training for UA," Izumi replied pointing at the sandy blonde boy who was lifting a microwave oven and carrying it to an area where all of the larger electrical rubbish was.
"Oh, do you mind if young Mirio helps," the tall blonde asks kindly
"Sure just don't interfere with him, he will blow you up in frustration," Izumi says giggling at the prospect.
Eri too starts giggling and says "don't interrupt uncle Kat, he'll blow up in your face," in the most innocent way possible.
The two blonde teenagers cleared up the beach in a span of another 3 months and they even observed sparring matches between Bakugou and Izumi, Bakugou got his ass handed to him every time.
It was eventually revealed that the skinny blonde man was the hero All Might and Izumi promised to keep his secret safe.
"I want you in the spectators' box during the Entrance Exams, young Midoriya," All Might asked.
"I would be honoured to see the next generation of heroes start their journeys, just as long as none are like Endeavor," Izum said bowing.
"I can understand where you're coming from with Endeavor but why," All Might asked
"Just a personal vendetta against a neglectful abuser who kills innocent people." Izumi retorts on the verge of a meltdown.
"Oh, sorry for asking," All Might said hugging her and trying to comfort her.
"It's alright, Toshinori, or should I say, Dad Might," Izumi says hugging him while accidentally squeezing Eri between them.
"Mama, stop! You're crushing me," Eri said straining every couple of words.
"Sorry, Moonbeam, I didn't mean to" Izumi apologized, crying with laughter.
The quintet goes their separate ways, Mirio and Yagi towards UA and The Midoriyas and bakugou towards Mustafu city.
The group went to a forest near the Midoriya household to practice, the training took place over the last two months before the entrance exam, the ghouls with their Kagune and Bakugou with his explosion quirk. It could be said that he took inspiration from Izumi's winglike Ukaku for an ultimate move, where he would fire a continuous stream of small Explosive pellets from both of his hands, firing them like Izumi's Ukaku shards. Meanwhile, the ghouls trained Eri's kagune, using her twin Koukaku as shields against Izumi's Ukaku and using her Rinkaku as offensive and zoning weapons. This ends with Izumi giving Eri a surprise.
"Moonbeam I have a gift for you," Izumi says beckoning Eri over to her.
"What is it, Mama?" Eri asked bouncing like a little kid with candy.
"It's your own mask, and matching outfit, you can come hunting with me now," Izumi says opening a box she had ready for when Eri was skilled with her Kagune. The Mask was black and white and shaped like an owl's face, zip on the edges of the mouth, with an eyepatch over the right eye and the outfit was a miniaturised version of Izumi's with white accents instead of gold.
Eri's eyes lit up and she hugged Izumi hard.
"So why do ghouls wear masks like that when hunting or meeting up," Katsuki asked genuinely confused.
"It's to hide our identities from the CCG and each other most of the time," Izumi answers enlightening Bakugou to the plight of ghoul society.
"Let's get you home, you have the entrance exam tomorrow," she says changing the subject