I think Damkerng has the sense of it. She's saying that she doesn't want a man to perceive her as an extension of himself rather than as a person equivalent to himself with whom he interacts. (If you should be interested in looking at technical psychological material on the idea, google "narcissistic cathection" or "narcissistically cathected object".)
Suppose a man has a fear of inadequacy, as we humans so often do. This might give rise to the fantasy that he needs more than himself to survive in this world, which gives rise to the fantasy that he isn't complete in himself, which gives rise to the fantasy that there is an "ideal" woman out there who by the simple fact of her presence in his life will take all of that away. This is the "concept" she's talking about.
So, a man like this meets a woman like her, she doesn't treat him like he's a creepshow reject, and because of this he overlooks everything about her that doesn't match his ideal woman, and imagines in her everything she lacks in his ideal woman. In other words, he creates yet another fantasy, wherein this woman is the ideal woman that he's been looking for. So, this ideal woman is the answer to the fantasy that he needs more than himself to survive in this world (she makes him alive), and also she is the "missing part" of himself that makes him complete.