Beyond the surface qualities, such as beauty? Because that is the first thing I will notice about women, and I can get entranced by it.
You might say, I have an eye for beauty, in that I can have a deep appreciation for it.
But to answer more seriously and being less shallow, probably compassion, intelligence, and a positive outlook are all traits that I would consider very important. If we are talking like, romantically, then I would drop intelligence down a few notches, because I don't think that is so important in a partner. I would substitute "sense of humor" in that case.
Negative people are really bad because they can bring anyone down to their level. Hence, why I say "positive outlook". That means things like being in a good mood as the default, not being depressed all the time, not always looking at or anticipating worst case scenarios.
Compassion is I guess the same as empathy kinda, I mean who wants to be with someone who is cruel and/or a jerk?