I've never understood this position. It's a moral not a medical question so what does "her doctor" have to do with it. The instances where abortion is necessary for the physical health of the mother is miniscule. Less than 1% of all abortions.
We all know of cases when Dr’s recommended abortion and the mother refused, only to have a baby that was loved and, often, perfectly healthy.
My mother was told by her Dr. to abort because my father’s parents were deaf. She had 3 healthy children in spite of his advice.
The law is not in place to encourage infanticide but that is its effect. Laws against the murder of neonatal children are no more government interference than laws against any other crime against persons.
Slice it and dice it however you wish. All abortion is infanticide and as such is legalized murder. If allowances for the health of the mother, rape and incest were the only consideration for abortion in this country, death by abortion would be reduced by more than a million babies a year.