The woman is an unwed mother.
The cartoonist says that this illustration is a task for his experimental comics class.
He is trying to connote the unwed mother’s fair weather friends, school, society and the the people connected with student records and her being expelled from school. He’s also trying to connote the unwed mother’s sense of rupture from the world with this illustration.
I think the writing is the name of the baby the mother has chosen, “Yu-mi,” and the people are crossing it out.