Hello,
I did the same thing as Jen last Summer - ds got hooked on an air conditioning unit that was quite loud, and he went through a phase of not being able to sleep without it. Once the hot weather had gone (it doesn't last very long in Wales :roll: :lol: ), I switched it to an untuned radio, which had the same effect.
If you want to wean her off white noise, I'm not really sure I have the answers, as we literally one day just didn't put it on, and he slept through his nap as normal. Sorry that's not much help to you, but I would just say, don't worry about creating 'bad habits' here. When compared to some AP habits, having a bit of white noise to sleep is not that bad, and maybe if you use a radio/music rather than a fan, it could be more portable. I think she will probably grow out of it herself. I'm sure ds used it when he was learning independent sleep, and getting himself through his 45 minute transition. Once he had done that, he didn't need it any more (in fact, I think I used it for longer than necessary b/c I was so paranoid that not using it would wake him up - anyone ever heard of a Mummy sleep prop :oops: :oops: :lol: )