Good news ~2017-04: the provision to draft women was removed from final versions of the bill signed by President Obama.

• Do Women Have to Register for the Draft? No. But Misinformation Spreads.
  

  "So the provision was taken out of the House version of the bill. And while the amendment passed the Senate, it was ultimately stripped out of the final Senate version of the bill as well. Instead, the final law, as passed in December, established a national commission to study the draft?s "utility and future use.""

• Social media sparks military draft confusion among women
  

  "Women do not have to register for the draft."