but they do indeed get public funding'
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Like most hospitals, Catholic hospitals receive the bulk of their financing either from direct payments by patients and private insurance or through government transfers in the form of Medicare and Medicaid payments. Catholic hospitals are primarily financed by the public, not by the Catholic Church. According to Health Progress, the magazine of the Catholic Hospital Association, in 1990 65% of Catholic hospitals reported that they annually sought government and foundation funds or grants in order to provide health care services for the poor or the local community. When raising money for capital improvements, Catholic hospitals rely on tax-exempt bonds, another form of public funding. This means that public money is financing institutions that provide only the health care approved by religious authorities. This clearly raises issues about the separation of church and state. This is even more problematic in areas where Catholic hospitals are the only providers of health care.
Currently 76 Catholic hospitals in the country have been accorded "sole provider" status, meaning that they are the only hospitals within 35 road miles or 45 minutes drive of the communities in which they are located. A hospital with sole provider status receives higher reimbursement rates from Medicare than do other hospitals. Fifty-six of these hospitals are located in counties in which Catholics comprise less than 25% of the population. Despite the fact that they are the only easily accessible facilities in their communities and despite the fact that the majority of the patients they serve are not Catholic, Catholic hospitals still have the right by law to refuse to provide the range of health services listed above. This refusal to provide certain types of health care takes on an added significance in light of the growing trend toward hospital consolidation. When Catholic and non-Catholic hospitals merge or affiliate, what happens to reproductive health services previously offered by the non-Catholic hospital? The answer is clear: vital reproductive health services are reduced or eliminated.Further, putting a woman's health at risk for the sake of a religious belief forced upon them when they are in dire need, and forced upon medical doctors who wish to practice in those hospitals, is immoral and directly against the practice of medicine according to the Hypocrattic Oath, which is clearly evident, probably does not mean a thing to them at all.
http://www.abortionaccess.org/AAP/publica_resources/fact_sheets/catholic.htmDo no harm--apparently does not fall within their scope or understanding of the practice of medicine.