Hello Seahorse,
What an excellent question! As a 35 year old woman who has never been married, I have to say that I would look for a kindness, gentleness, and compassion in a mate — someone who has a great love of animals and children. Since I most likely can’t have children, I would very much like to find a life partner who would be interested in adopting. I feel rather “old,” so these criteria may not be what many women are looking for. But nonetheless, these traits mean a great deal to me!