I don't think this is a case at all and would be surprised if there are any damages awarded.
First of all there are no economic damages. The lady was not fired, punished or reprimanded in any way. Secondly I do not think there are any punitive damages either. These are reserved for egregious acts and usually in discrimination cases related to wrongful termination, retaliation or assault. Unless the lawyer can show that there has been a history of racism at the hospital there is no ground for punitive damages. That only leaves the possibility of emotional stress which I'm sure they will argue.
BUT they still have to prove there was discrimination. Under Michigan law:
The key here is you have to show that the "non-selection" was adverse and you also have to show that dealing with an individual is a position. This is very weak as the lady's position was not affected at all.
But more importantly the employer has an easy defense under MI law
I don't think it would even get that far since the action was not adverse but all the employer has to do is show that the decision was made for other reasons such as avoiding conflict or the lady's safety.
The other issue in cases like this is you have to establish intent. If the lady was removed from helping this baby because the supervisor was trying to make the workplace a terrible place to work so that the black lady would leave then there is a case. Unless there is much more to the story that we don't know, it does not appear anyone had nefarious motives.
So I would bet $$ this case goes nowhere
More in-depth, but that's how I see it too.