Learned helplessness gives people a feeling that they have no control, whether it be in certain situations or life in general. Quite a bit of research has been conducted on the topic and some believe that depression and other mental illnesses result from learned helplessness.
Learned helplessness can contribute to other health issues resulting from a poor diet and loss of exercise (many times triggered by depression).
When we are looking at specifically women, I think it is important to think of this from a cultural point of view as well. Women are raised differently in different parts of the world. I believe that some cultures raise women to grow up to be helpless and dependent on men while others raise their daughters to be strong independent women.