In 2017, President Michele Bachelet lifted the ban on abortions in Chile with a clause giving doctors the right to refuse on the grounds of personal belief.
According to the Chilean Ministry of Health, 50% of doctors will not perform an abortion in cases of rape, 29% if the baby will die, and 21% will conscientiously object if the mother's life is at risk.
Or look at this another way - 50% of doctors will perform an abortion in cases of rape, 71% will abort a terminal baby, and 79% will perform an abortion if the mother's life is at risk. It doesn't seem like it should be too hard to find a doctor to perform an abortion in Chile.
See this BBC article for more info.