Abortion and Women's Rights

Abortion has nothing to do with women's rights.  Murder is not a right. 

Assuming we are talking about a non-sentient fetus.

Since it's not sentient the woman can abort if she wants, but has to include it in her health insurance or pay for it herself since it is unfair to charge people for your own unresponsibility. If the woman was raped of course, the government will pay for it. If in a court of law the woman was found to be lying about the rape she will owe the government for the abortion. If the rapist is caught the rapist will be forced into labour to pay for what he owes society. If the rapist is not caught, other criminals will have to work a little harder to pay for however much criminals owe victims in total.

This is the most logical course of action.