The basic meaning of willing is, "an expression of desire and consent."
Here, the words, "As I see it we can have no new deal until" convey Eleanor Roosevelt's appeal for cooperation and participation to women and other groups.
She means that we cannot move forward without the cooperation of intelligent, hard-working and determined women who decide to take part in matters of the country.
Put the shell to your ear and hear the new warning: You die by blacks. . . Put the shell to your ear and hear the new warning: White standards are overrun by society.