I rewatched JL: Gods and Mortals
Overall I liked Bekka, it's annoying that (to no surprise) so much of her story is dedicated to her relationship with men (Orion and Steve Trevor) but it's always annoyed me that Superman gets to keep his Krypton background, Batman gets to keep his Earth background but Wonder Woman has to be totally revamped.
I dont see why she couldn't have been an Amazon who was traded at birth to the New Gods or still tie into the Amazons someway to keep the WW feel besides the name and the man.