Men often consume much more per day than women, but this is generally due to the fact that men tend to weigh more than women. A 150-pound woman would need to consume the same amount of protein as a 150-pound man, assuming they both had the same physical goals in mind.
Women and men are far more similar than they are different, both genetically and in terms of their nutritional needs. This applies to all other nutrients as well.
Bill Campbell, Ph.D., the director of the Performance & Physique Enhancement Laboratory at the University of South Florida, has studied how varying amounts of protein in the diet influence body composition in resistance-trained women. In the article "How Much Protein to Women Really Need?" he explained that adding an additional 400 or more calories of protein foods to the diets of women who were strength training several times a week had a surprising effect.
Not only did the women gain lean weight, but as Campbell writes, "The women on the higher-protein diet actually lost more body fat than women on the lower-protein diet, even though they consumed more calories!"
That said, women may have different goals and want different things from their protein powder, like lower carbs, extra collagen, and so on. The best protein powders for women are created to address these other nutritional considerations as well.