Everyone likes their partner to be physically attractive (
enough).
However, women are more likely going to be with a guy who is not as physically attractive as she'd like if he's got other traits that make up for it.
Whereas men who aren't attracted to a woman's looks won't date her; nothing can make them change their mind about her attractiveness. For men, there is a big difference between physical and mental attractiveness. If a woman lacks too much in the physical department in his eyes, she can be as smart and funny as she wants, it won't make her more attractive to him (on a sexual level). For women, a guy who is not as attractive in her eyes can get her if his personality is cool enough and he meets most or all of her vital requirements; their perception of a guy's attractiveness is much more holistic.
For a man, a woman's looks gets her foot in the door. Everything else makes him either open the door or close it.
For a woman, a man's confidence or perceived value (this can be very subjective, based on what the woman finds important) gets his foot in the door. Everything else makes her either open the door or close it.
Of course there are women and men who care more or less about a guy's looks, but I am not talking about the exceptions here.
Most of those women who care more about a guy's level of attractiveness are: either more attractive themselves (
that surely does not apply to all attractive women though), or
older women looking for a younger "boy toy".
Most of those men who care less about a woman's level of attractiveness are: young and financially non-established and/or lower in status than her.