She could also get angry. Korra is a strong - willed character. After the shock wears off, she might lash out at Asami. She could yell and demand an explanation. She might feel that she has been wronged and wants Asami to know how much she has hurt her.
Well, it could be that Asami discovers some big secret about Korra that she can't accept. For example, if Korra has been hiding a past relationship or some dangerous power she has. Asami might feel betrayed and break Korra's heart by ending their relationship.
Korra and Asami did not break up. Their relationship continued to develop and remained strong throughout the graphic novels. The storylines focused on their mutual support and growth together.
One possible fanfic could be about Asami getting jealous when Korra spends a lot of time with another character. Maybe Korra has to work closely with someone on a new project in Republic City, and Asami starts to feel left out. Asami might try to hide her jealousy at first, but it eventually bubbles to the surface during a dinner with Korra and the others.
Well, at first, they might be a bit nervous about how this new addition will affect their relationship. But as they care for the baby together, they would become more in sync. They would share responsibilities like Korra teaching the baby about bending and Asami teaching about technology. Their relationship would grow stronger as they face the sleepless nights, diaper changes, and first steps together. They would also become more protective of each other and the baby in the face of any threats or difficulties.