I think I know what you're asking……not really sure though as it didn't really make sense……but I think she should keep Diana Prince as her alternate identity, if that is what you're asking.

@arturocalakayvee: My bad what I mean is Diana is going over to teach her amazonian ways and she wants to pick up this culture which Steve Trevor lives in to learn more about it.

I never really liked the idea of Wonder Woman having a secret identity. Traditionally her biggest virtue has been honesty so lying about who she is seems a little off. She should just be like "I'm Wonder Woman deal with it."

@muffin_sangria: Not if she wanted it to be called that while in the outside world. I'm not speaking about a job just a name on paper.

Also Clark Kent aka Superman is suppose to be Justice and Truth but he also uses an Id since he grew up. But still puts on a mask. Diana using Prince can still use it and still have the same personality

Truth and Justice are just a catch phrase for Superman. Wonder Woman lives them.