Can't force her to carry something she doesnt want feel free to take the cells out of her ovaries and grow it in the lab or implant it in someone willing. If you want to go in that direction.
We force people to protect their children every single day through child protective services, the legal system, etc.
How is a mother "being forced" to carry her child to term any different than "forcing her" to provide proper food, clothing, a safe and healthy place to live, medical care as needed, vaccinations, etc, etc,etc.
You can't tell me that the intrusion by government to ensure the wellbeing of a child before birth is any more of a hardship on a parent than ensuring the wellbeing of the child after birth.
After birth, the child may be forcibly taken away from negligent mothers. Seems much more extreme than simply requiring that the mother give birth and then decide if the child will be put u for adoption.