Why do you think that women in Catholic hospitals get a preference?  They do not get to make a decision with their physicians about what is best for them.  The decisions they are allowed are limited - think of what happened in Phoenix.  The woman, her husband, and her doctors thought her pregnancy needed to be terminated because her life was in serious danger.  The hospital did it but was then attacked by the local bishop.  

I would not trust a Catholic hospital to deal with a woman who had a pregnancy that was a danger to her life or health.  

I used "cow" to describe the woman because she has no agency, no right to make her own life or death decisions.  Someone else decides for her.   Someone else decides if her life is to be risked, how much risk she is required to take.  She is treated no better than an animal - yes, the farmer and the vet decide which is more important - the cow or her calf.  She is just an animal.