Just to clear up everyone's questions, the GBJLA are supposed to be actual female versions of the characters, not just them in female form. They're meant to be "new" characters, which is why we have Batma'am and superma'am instead of Batgirl/Batwoman and Supergirl/Superwoman, since these are already existing characters.
Well he is a shapeshifter, and has been shown to take a female form like this, as well as a human female form, so why not. Besides who ever said you had to be a man to be a manhunter.
Now wouldn't she technically be J'anne J'onzz the Matian Womanhunter
one of his many disciplines.
That would be Claire Max