There are many references I can point to that show women prefer Apple / iPhones.
As far as trusting companies know their markets - If you look at surveys with any sort of a critical eye, you'll quickly find that you can come to any conclusion you like by simply asking different questions, or asking them different ways. Moreover if you've been in a corporate environment for very long, you'll also quickly find that when those doing surveys don't produce the results the execs want to hear - they get replaced by a different survey company.
And my observation has been that women (and I work in an environment where 60%+ are women) will almost always go for an iPhone. I know a few who have android and of those - about half have Android because their husband bought their phone.
The Moto X (OG) was a phone that had what it took to change that. This new Moto X doesn't. There's nothing here to distinguish it from an HTC One M8, SGS5, Nexus 5, or Xperia Z3. It is just another big screen, high-end, fairly high quality Android phone. I'm sure it will do fine for what it is, but it isn't in the same vein as the original.
I think the "spiritual successor" to the Moto X is going to be the Xperia Z3 Compact, a 4.6" Snapdragon 801 waterproof phone with 2GB of RAM and build quality that would look perfectly at home with an apple logo on it.
Women prefer Apple, gentlemen prefer Samsung - CNET
http://readwrite.com/2012/05/22/why-the-iphones-success-has-women-to-thank
Android is for Boys? 73 Percent of Users Are Male