Inuyasha's and Sesshomaru's True Soulmate

Akari Kiseki, a girl who's personality is very kind and shy, caring, hardworking, fell accidentally in the bone-eating well , saw a boy with dog ears who's caught by a tree.
He was sleeping peacefully.
She dragged a arrow and the boy woke up.
Inuyasha, that's the name of the boy, must team up with Akari to find the shards of the Shikon Jewel.
In the journey, they fall in love with each other.
Akari will discover secrets about herself.
But Akari will also be in love with Sesshomaru.
Because she's a reincarnation of Sesshomaru's first love.