I agree with Nick. Natalie Faith (without the DJ) sounds really classy or if you like the Elixr you could also go for Natalie Elixr.
I think when I see female DJ names in a world that is (sadly) male dominated it is important for the female DJ name to have a really classy ring to it. Natalie Faith has that in my opinion.
I agree that DJ Elixr is not easily recognisable, since there are several similar names out there. Plus one cannot recognise by the name that you are female. In this male world this is sometimes an advantage and sometimes a disadvantage. But you should make it recognisable in your name and work it to your advantage. Let the fact that you are classy and well skilled in DJing reflect in your website etc. for reference you may want to look at “Juliet Sikora” she has done really well in that respect and earned her way.