The quote appears is in several publications.

She won by being a female applying to the kind of female males want us to be in a horrendous 1950s world.

It may be that "applying" is meant to be "appealing". The quote means that Taylor Swift believes the senator in question gained support from male voters by presenting herself as the kind of 1950's female which would appeal to them, and who is not on the side of women's or minority rights at all.