Abortion is not mentioned in the constitution and therefore each state has the power to legislate it as they see fit. Any federal abortion law would be deemed unconstitutional on that basis.
Abortion regulation powers were not delegated within the US Constitution and therefore those powers go to the states.
It's unfortunate that there isn't a stronger right to bodily autonomy enshrined in the constitution but that's tangential here.
There's still precedent and federal law that protects bodily autonomy in respect to having private medial exchanges with doctors.
We still have the FACE act for example, which is federal law preventing people from blocking the entrance of abortion clinics.
I think we'll find quite soon how much abortion is intertwined with interstate commerce.
Regarding bodily autonomy, it becomes a little tricky to make that argument when a mothers' decisions affect a separate body from her own. A body with its own DNA that happens to rely temporarily on her mother. Is the argument that a mother can kill her healthy child as long as it couldn't survive without her?