You bring up a not-uncommon argument used by the pro-abortion community. They use it to elicit sympathy, but mostely, they would like us to be afraid of being accused of hating women or trying to control them and their sexuality.
In fact, we see human life as something to be protected and we abhor discrimination. We don’t discriminate between who is and who is not human enough to protect from intentional killing when they are not a threat to life.
The woman is guilty of self-harm, as well as causing the death of her child. We no longer treat attempted suicide and self-mutilation as criminal offenses, but as the result of mental disorders. Those who perform abortions on themselves truly do so “privately.” The State - our society - has a responsibility to treat these women to prevent them from being a danger to themselves.
How do we treat women who kill their child just after birth? Again, the punishments often take into account the state of mind of the woman.
The State regulates medical practice, however. The act of abortion for medical reasons should be treated as a medical procedure. If there is no medical reason - the risk of the life of the mother or permanent physical harm - the abortion should be treated as other homicides are treated.
It’s always a pleasure to read intelligent and well-thought-out replies/posts on FR.