I adore
Norma too! I love it, I think it's so cute.
Nora would work, if you really want it to. I could see someone getting to
Nora if they called her "Nory" (or
Nori or something) and then that turned into the elaboration of
Nora. I just wouldn't get too attached to it, since it's not that natural of a connection to make, and imposing its use might take more work. And I rather agree with
Amandine in that it feels like a bit of a cop-out, trying to have your cake and eat it. Which I do understand, but it makes me sad.