The Reckoning of a Natural Huntress

MHA x PLA x HxH x PMD story
Book 1 of Natural's Saga
So yeah, I'm back at it again with bashing characters in My Hero Academia.
Izumi Yagi is the neglected child of Inko and Toshinori. While her brother got all the attention she was often left behind and/or ignored by everyone else aside from when the bullies beat her up when they need an ego boost.
One day she dies from starvation and the wounds she received from her twin brother's best friend and his lackeys. Instead of entering the afterlife of heaven or hell like any other person who dies, she finds herself in another world, where exotic beasts straight from her dreams run wild and people with abilities and skills stronger than Quirks walk the earth, and treasures and riches are hidden away just waiting to be discovered by anyone worthy enough.
Taken in by Cogita, Izumi changes her name to Natural Melodia Harmonia (homage to the previous human who can talk to Pokemon like her), and leaving the Hisui region to take the Hunter Exam she discovers the power of Nen throughout the events with our favorite Main Four and she becomes one of the most powerful individuals to grace their world.
But of course, all good things come to an end.......
What happens when she is unexpectedly thrown back in her birth world after a freak incident with a Nen user who can open rifts to other dimensions, and, with finding out her allies that had went with her, she is thrown back into the very world she loathes with a bitter passion.
There will be a mixed harem, I'm leaning towards yuri, but I haven't decided. And no one from BNHA are in it. Sorry.