I see that some people here are trying to re-frame this as an abortion related issue. That does not seem to be the case
At issue here is whether or not a provider can be compelled to provide care (they can) and under what circumstances.
This is not a case of someone trying to force a provider to perform a service they are not prepared to perform, such as one they lack experience, training or equipment that is needed. This hospital has and does provide medical services for women who deliver babies "naturally". However, the details show that the woman had contraindications for a VBAC. So the issue here is "at what point are doctors allowed to refuse to perform a service and on what grounds are they allowed to do so?"