I have no idea how she will be written but Artemis started out controversial. Back in the days of the "replace the original with a successor to show how great the original is" days Artemis took over as Wonder Woman. She met with a domestic abuse victim and things didn't go too well.
She doesn't have the compassion of Diana partly because Artemis doesn't see things the same way. Based on how she was raised and her personality she views things more as a warrior. What the Amazons do in current canon is apparently going to be fine tuned by Rucka which should give better insight for how she acts.