They don't have to disclose the medical details of this particular woman. They just need to address different hypothetical situations, and explain the ethical principles which are guiding their policies.
I just re-read the article more closely, and the reporter, Ian Tuttle, sure does a full-body slam on Mercy’s capitulation - maybe if he knew more about the health of the mother, then he would reconsider his conclusion - Did he ever ask if that was a consideration?
“But, if this was a compromise on principle, who believes that? Mercy has shown that, when push comes to shove, it does not really believe what it says it believes. So it has not just betrayed the cause of religious liberty; it has betrayed its own mission.”