No, not at all. She just may need a little more "space" than some of the more "needy" women do. I told my hubby when we first met that I liked/needed my space, that my career was so important to me and that I would never rely on a man, etc, etc. I was sure to make it crystal clear, just like she seems to have done. His nickname for me was "tough girl".
Be careful not to smother her or she may run, sooner rather than later. But if it makes you feel any better, I quickly saw how great my hubby is and I even became a little "needy" like he was. I just needed to see first, that I wasn't going to be hurt by him. Now I can't imagine ever losing him. I've changed 100%. Give her some space and time. Maybe that's what she needs. Being that it's so early on in your "relationship", also be prepared for the possibility of her dating others - another reason to take things slow so you don't risk getting hurt.