Women, who, on the whole, are more interested in stable relationships, necessarily assume a defensive position against men, who (again, on the whole) are more interested in casual sex than women.
A woman's "game" can be broken down into the following three parts: While there is a lot to learn about the first part of female game (optimizing attractiveness), there is just as much to learn about the latter part (filtering).
What a man says is the worst possible indicator of his interest: you need to pay attention to what he does.
This is why it is so important for a woman to allow a man to initiate contact after an initial meeting, and even well into the relationship.
If you fall into this category, I suggest you read the other posts.) If men didn't try to sleep with lots of women with no strings attached, or if women didn't want stable relationships, then it is conceivable that women could approach men.