[Ape]

I am 99.9% sure that Rita's name is indeed a reference to Power Rangers, especially given that they are seemingly tying her plot to Zyuranger.

Maybe she's Bandora's daughter or something and inherited her magical powers from her mother that way or something, but yeah, once you notice the complete absence of dino Sentai and the fact that she wants to erase justice from the world and summon Great Satan... yeah, I would be surprised if she isn't related to Bandora.