A Supreme Court rejection of a challenge to abortion pill mifepristone could hinge on how the justices assess ‘conscience objections’ raised by doctors who do not wish to treat patients suffering from side effects from the drug.us polictics news A Supreme Court rejection of a challenge to abortion pill mifepristone could hinge on how the justices assess ‘conscience objections’ raised by doctors who do not wish to treat patients suffering from side effects from the drug.