Using the name Noah is going to simply cause you a whole load of problems. Visually in your avatar you look very feminine, but do you really want to go through life, not only dealing with all the stuff we have to deal with, but also having to explain why you have what is perceived to be in Western society a boy's name?
Also, even if you have a very feminine sounding voice and you're on the telephone to, let's say, a call centre for argument's sake, they will hear a feminine voice but then be presented with a male name.
If your voice is borderline, they will assume you are a guy and any correspondence will have Mr Noah (Smith) on it. Friends of mine who get mistaken for male over the phone are never happy about it and I can understand why. I am fortunate that my voice both face-to-face and over the phone comes across as very feminine.
Diana is such a beautiful name and I would suggest going that route.
Best wishes, Diana, I hope your future is bright.
Caroline