I think the real independent woman is the one who does not mind being able to care for someone else. IF you study wolves and TRUE alpha behavior then you will that the true Alpha tries to boost confidence.
Feels like you might have started labeling yourself "alpha" without knowing what it means.
If a woman has a career then she CANNOT be alpha.... alpha would be looking at the TOP; the very top! THERE is NOTHING in between the top and the bottom for a true Alpha (and the best alpha wants to be at the top because he does not want a tyrant there).