I'm confused about my girls actions.

So I’ve asked everyone that I know and seem to get different and varying answers to my question. I’ve been seeing a girl now for two months or so. I really like this girl, we have a lot in common, and have similar interests. When we first started dating we could not get enough of each other, we spent as much time together, sent each other text messages throughout the day, and planned everything around each others schedule. About two weeks ago she tells me that she thinks we are moving too fast and wants to slow down. I don’t have a problem with that. So, in turn I pull back. Don’t call her as often, don’t try to plan my life around her, and just generally live my life as it was before we met. All fine and dandy. Last weekend, while we were out on a date, she tells me that she wants to move even slower. No more text messages, no more planning nights together, she seems distant and all together far. She tells me that she likes me very much, but is very scared of her feelings. That she has talked to all of her friends, but won’t even talk with me about it. I am just as scared as she is. I’ve been dragged through the mud enough times in my life to realize when it is not working anymore. The hard part is that she is still interested in me, but yet does not show it. Should I just face the fact that maybe this girl is not that into me and move on? Or should I just play it cool, live my life and if she wants to be in it, let her make the move? I am just royally confused as to if someone likes me, why would they be so distant from me all of a sudden? I know there is nothing else going on with someone else, because if there was this wouldn’t be so confusing, she would be out of my life. I’m just confused as to why a woman who tells me she cares about me and really really likes me would play these games, when generally I always hear that women don’t want a man who plays games. Anyone have any thoughts?