In my opinion, success is not gender specific. It's most important to identify and pursue one's passion, that's the real success. If he or she is able to succeed, then he/she is successful. I feel so. It's foolishness to measure success in our own terms as it differs for each and every person. So the better one to answer this question is himself/herself, as he/she knows best what she wants to feel self satisfied and successful.
Many people would say, to lead a happy and peaceful family life with husband and kids, with a job in hand/or celebrity status would make a woman successful. I don't feel so. What about unmarried women who enjoys the same status and happiness of married woman? Best instance is our Nightingale - Lata Mangeshkar, who is adored by music lovers across the world!!!