Women do care about looks but they tend to give them less weight than men. A woman can find many things that she likes in a man and as a result overlook his looks. See do women care about looks.
According to psychologists beauty standards can differ from one women to another. This means that a woman might find a man attractive while other people might not find him that attractive. See also what makes a man attractive to a woman.
Women find men who resemble their fathers, even indirectly, very attractive especially if they had good relationships with their fathers.
Women look at many things when looking for a long term potential partner, such as ambition, resources, masculinity and commitment. A woman seeking a long term partner is thus more likely to sacrifice looks for the sake of other qualities. See why women like taller men.
According to psychologists women looking for short term partners might place a high weight on looks while women looking for long term partners might give high weight to other qualities.
Some women date less attractive men because they want stable lives. Those women might believe that the less attractive men is more likely to be committed and less likely to cheat.
According to experts when women marry less attractive men they report a high relationship satisfaction since the man becomes more invested in the relationship.
Women with low self esteem might only want to date a very good looking person in order to prove to others that they can attract such a man. Women with higher self esteem might look for other qualities besides looks. See why some women like bald men.