Segregation of Hospitals- Spoiler Alert (pg 176)

On page 176, Aibileen describes and experience she previously had taking care of a little white boy. They were fixing a fan, and he badly hurt his fingers and was losing a lot of blood. When she took him to the bf hospital, the black doctor refused to operate on him because he was white even though he was severely injured. I'm pretty sure that a white hospital would never operate on a black person, so it's not a huge surprise that the black hospital wouldn't do the same, but what do you guys think? Is this segregation right? Someone could die because they don't have immediate access to medical attention.