The most change I can see happening during Francis' term is the church might state that it's OK for married couples to use condoms if pregnancy would pose health risks to the woman.
I may be wrong since I don't pay much attention to Catholic doctrine, but I thought was already the case, but that the use of condoms for the primary purpose of birth control was not. It could more spartanly be just to prevent STDs rather than health risks from pregnancy, but unless my memory is playing me false, the Catholic church has approved the use of condoms in limited circumstances so as to enhance health.
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I could be wrong too but I think what Ernest is describing might be the case in at least parts of Eastern Orthodoxy.
