Simple question yet difficult to answer. :) Human race has evolved to such an extent that it has become somewhat impossible to generalize things. Being a witness to a drastic change that every man and woman on this planet has undergone, consciously / subconsciously, over the last decade, I have come to the conclusion that every human being is different. Until a decade ago, I could have safely categorized women in one group and men in the other as far as differences in psychological framework are concerned, but as of today, I have to say every human being (whether a man or a woman) is different from the other.
So to say, every woman is different and thinks differently from (even) her female counterparts. A lot depends on her life experience, her childhood, her bringing up etc. For instance, a woman who might have been abused by her father in her childhood would never want to date a man who reminds her of her father. However, she might have a tendency to attract the same type of men over and over again but that's another side of the story. Perhaps something to do with law of attraction.
On the contrary, if a woman remembers her father as a very gentle, upright and principled man, she might want to have the same qualities in her mate. But again, there are women who think such men are boring and may look for mates who have an exciting and adventurous personality. (quite likely that such women may end up being disappointed, heart broken or cheated in the end but at least they would have tried someone different :)) It all depends on how much clarity a woman has in her thoughts and ideas regarding a man she wants in her life.
It might seem that I didn't answer the question directly but in today's scenario....is it possible to answer any question without considering the flip side of it? :)