The removal of a section of fallopian tube to prevent bursting and infection is not an abortion, and the early death of the child (who could not survive in any event) is considered an undesired consequence of the intended act (removal of the tube).
Once you get into direct abortion, purportedly to relieve "emotional trauma" you open the door wide for all sorts of claims such as "I just can't deal with this baby".
Direct abortion is direct abortion and you can't do it, no matter how justified you think you are. That's a line that shouldn't be crossed, and it has nothing to do with Christianity. Murder is murder in every culture, and until "enlightened" modern Westerners thought of a plausible excuse, aborting a child was everywhere on a par with infanticide and murder.
Sorry, but if, as the Latin church teaches, and most bishops in the Orthodox Church who have spoken on the matter agree, a unique human person began at the union of sperm and egg, the end of an ectopic pregnancy is homicide, just as is ending a pregnancy carried in the womb which threatens the mother’s life, threatens the mother with severe disability, was engendered by rape, or simply is contrary to the mother’s whim. The first is plainly justifiable homicide, the last is plainly murder, morally sound policy deals with the question of which of the others are justifiable homicide and which murder.