The doctors were 100% certain the mother would die. What you're proposing is akin to Jehovah's Witnesses, that the doctors should've just left it in God's hands.
I don't know what Jehovah's Witness policy you are referring to (the only thing I know about JW is about blood transfusions) but no one here has said the mother cannot be treated. She just can't be "treated" by murdering her child.
But also, hey, yes, God exists! The problem with those fundamentalists who tell people going to doctors is a "loss of faith" is that they expect everything to be a miracle and won't take proper precautions. It'd be like driving down the road at 100mph blindfolded and saying that God's angels will keep you safe. This is different than having your car blessed or saying a prayer before you drive (even many lapsed Catholics still have a St. Christopher medal on their rear view mirror) but still keeping your eyes on the road and driving sensibly. "You shall not put the Lord thy God to the test."
At that stage of life, 11 weeks inside the dying body of its mother, the fetus does not have equal status. The fetus can not survive without the mother, but the mother could survive with the fetus removed. The mother has four other children and a husband. Her value in life far outweighs the fetus in this circumstance.
Extrinsic value maybe -- the same reason why regicide is a graver crime than simple murder (many more people are adversely effected by the murder of a king than of a random man on the street). But the intrinsic value of even an 11 week old child is still infinite.
I believe theologians and moral ethicist in the Church are going to be debating this for some time now.
People can debate all they want. They just want to justify sin. The teachings of the Fathers and the Magisterium throughout history has been consistent. Scholastic moral theology, which proceeds from reason and is endorsed by the Church, is also clear. The directly intended killing of an innocent person is murder and can never be rightly ordered -- it is an intrinsic evil.
My guess is that they are going to define such abortions as indirect, being, the intention was not to abort the child, but to save both mother and fetus, but when that option runs out, you have to save one, in this case, the mother.
Except going in there and killing the child is not an indirect killing at all. An indirect killing of an innocent person might be dropping a bomb on a military base (in a just war) and that a child who happens to be too close to the base is killed in the explosion. This is different than dropping a bomb on a hospital or going in and massacring civilians intentionally. That is the difference between war and terrorism.
An indirect abortion would be where the child dies as a
side-effect of some treatment, when the murder of the child
is the "treatment", it is clearly a directly intended act.
People want to come up with justifying reasons for sin all the time. I could say, "I want a baby" and having a child is certainly a good thing. So I go out to the bar to find me a baby daddy. Well, that's not a good thing. Fornication is an intrinsic evil, there is no justifying reason to do so even if you intend some good to come out of it (such as having a child or trying to convince the guy to marry you). Murder is also an intrinsic evil, there is no justifying reason to do so, even if you intend some good to come out of it (such as saving the life of the mother).
Keep in mind the Double Effect Principle is a guide, its not infallible. In fact, when Ambrose wrote it, he was applying in justified self defense.
I mostly think of Ambrose in relationship to his hymns. I'm pretty sure St. Thomas Aquinas originated the Principle of Double Effect.
Double Effect only comes into play when the act itself is not intrinsically disordered. For example, killing is not always murder. It can be murder (when the person is an innocent), it can be neutral (when it is entirely and unculpably accidental) or it can be laudable (such as killing in a just war or a just execution).
The Principle of Double-Effect does not apply here because abortion is the direct and intentional killing of an innocent -- murder. It also doesn't apply because the act with evil consequences is supposed to be the cause of the good end. As St. Paul says, quoted above, we cannot commit evil that good may come of it.
In those days, a woman's life was pretty much 2nd rate when it came to making decisions about reproduction.
Heck, they believed it was the woman who determined the sex of the children she conceived and she was often blamed if he didn't produce a son.
Not Catholic doctrine, but it was the mindset of the day.
Which has to do with what? Killing children doesn't improve the status of women in society, it lessens it.