Girlfriend says she doesn't have any emotional attachment?

Anonymous
So my girlfriend and I have been dating for only a week and a half, though we've been getting to know each other since the beginning of March. Everything has been awesome in all aspects thus far, except for one thing that I found odd. Sometime after we first met, she mentioned in a conversation that she does not feel an emotional attachment to anyone, including her parents to an extent. Tonight, she mentioned the same thing again when we were talking about our respective families.

I find myself confused in this situation. It is almost as if she is giving me a warning that she is not emotionally available to anyone (including me) and may never be. We both agreed to be in a relationship as boyfriend and girlfriend, yet she is essentially telling me that there will be no emotion involved between us. Should I work with her or just cut it off now before I become too emotionally attached to her? Have you ever experienced this and what, if anything, can I do?

Girlfriend says she doesn't have any emotional attachment?
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