Liberated describes something that's free from traditional social conventions. If you are a truly liberated dresser, you don't feel any pressure to wear conservative clothes just because that's what everyone else does.
A liberated woman refers to a feminist who pushes for more equality for women. In the 1960s, a wave of liberated women fought sexism in culture and politics and tried to change expectations of what women should be both inside and outside the home. Liberated can also describe something that's freed from occupation by an enemy. For example, a country might be liberated from guerilla rule by UN forces.