Ditching an unwanted baby in a dumpster, or a randomly selected doorstep, etc. due to religious convictions or certain circumstances which would otherwise prevent a traditional abortion.
Alice got boned by Jim at a party and ended up pregnant, but thanks to her staunch anti-abortion background, fetus flushing was out of the question. So she went by way of the Christian Abortion instead and jettisoned the new born into the dumpster behind pizza hut.