The fact that it's "women's football" not just football tells us that FIFA feel the need to distinguish it as "other".
This is utter rubbish. It's called women's football because women playing football are in a minority, and are a recent addition. In exactly the same way as people refer to male nurses, but female nurses are just nurses.
FIFA is a flawed organisation but in terms of women's football, they have gone overboard to support it and grow it, bestowing on it more finance and prestige that the numbers playing it often warranted. In 2014, a woman made it into the final 3 for FIFA best goal of the year, and came 2nd.
The big problem for women's football is not FIFA, it's fans. It's more popular than it was, but still nowhere near the huge deal men's football is. Most women who like football have little interest in watching or following a women's team.