Fairy x Bnha : Reborn as Midoriya Lucy (Todoroki Shoto love story)

Lucy Heartfilia had died in the last war when she fought against the powerful black wizard leaving Fairy Tail behind. She was reborn as Izuku's sister as her name be Midoriya Lucy. Her past life and her memories were erased by her dragon named Calliana. She had revealed Lucy's past to Inko and asked her to help Lucy make a new life. Inko accepted Calliana's request and will help Lucy. Lucy will only have elements in her quirk with multiple flames of colour. Erza, Gray and Juvia were share fate with Lucy with no memories in their past. Even so, Lucy is still friends with them.

What will be her fate in this world? What will she do when she had fallen toward a half guy named Todoroki Shoto?