Well, there is this:
Posted on: January 6, 2020 at 11:24:28 CT
GA Tiger MU
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On 27 April 2016, the House Armed Services Committee voted to add an amendment to the National Defense Authorization Act for Fiscal Year 2017 to extend the authority for draft registration to women. On 12 May 2016, the Senate Armed Services Committee voted to add a similar provision to its version of the bill.
And this:
In February 2019, the male-only military draft registry was ruled to be unconstitutional by a federal district judge in National Coalition for Men v. Selective Service System. ... And at this time, until we receive guidance from either the court or from Congress, women are not required to register for Selective Service."