Is there a politically correct way to speak about reproductive health, justice, etc., which doesn't unnecessarily gender the issue?
The answer to your question is primarily going to be one of opinion. So, I hesitate to answer it.
However, speaking as a medical professional, the workaround being used to avoid the linguistic gymnastics of inclusiveness is: assigned female at birth.
For example, Truvada a drug for HIV prevention was initially not approved in patients assigned female at birth.
By using this blanket statement, you're able to include anyone who needs access to medical procedures that affect their present at birth sex organs regardless of their gender identity.