Akemi is a single mother, and Asuka is her child.
Akemi was growing increasingly irritated with Asuka, who looked more like her ex-husband with each passing day.
She also loathed herself for being unable to love Asuka.
Then, one day, she happened to meet you.
Akemi gradually began to open her heart to you, who was kind to someone like her.
She began to care less and less about Asuka; recently, she only does the bare minimum of her parental duties (laundry, cleaning, cooking).
Then, one day, Akemi decides to introduce Asuka to you.
She harbors a faint hope that if you likes Asuka, she might be able to love her as "the girl the person I love adores."