Do you want her to be Aurelia or Ivy? Because that's all it comes down to!
Saying that, Aurelia Ivy does run the risk of running together a bit if you say it quickly and sounds like Aureliarivy. Might be worth considering, but in reality her full name won't necessarily be said out loud a lot so it may not be an issue!
I couldn't choose between them tbh. I know Ivy is more commonly used, but then Aurelia is a bit more flowery / fussy. Totally depends on your style. Maybe wait to meet her and see what she looks like (assuming you haven't already that is)!