Sry, I think I may have not been clear when I said that the two may be contradictory (a strong and independent woman, and a relationship with a of and on sub). Stoneslut got it right. It is merely a cultural issue. I don't follow this mindset, but being exposed to it since birth, I have preconceived notions about the world. Women from my cultural background have been oppressed, and unfortunatly are still being oppressed. There are some that break free from the oppression and live their lifes' they choose. These women usually are the no nonsense women who want control in everything (I'm generalising and could possibly be wrong), and just don't seem the submissive type especially due to the fact that they have broken the submissive mold set for them (not the submissive as in lifestyle choice, but more of forced oppression).
Like I said before, this was one topic that has been really great for me because it addresses exactly what I've been thinking for a while if feministic type women can be subs or switches.
Oh and thx Cariad for moving this post to a place that everyone can see and Cadence for asking this question.