By 1922, after so many years of working with women's clubs, the suffrage movement and the newly formed League of Women Voters, Weil had achieved so much recognition and become so associated with the political system that many assumed she would run for office. Indeed, the Raleigh Times wrote that "The Third District could go much farther and fare much worse than to send Miss Weil to Congress. It has been considerable time since that section of the State has had as much brains at Washington as it would have were Miss Weil to go."

But Weil had no interest in pursuing a political career. Despite the encouragement to run for office, she believed she could do more to benefit the state through her behind-the-scenes work. On July 29, 1922, the Raleigh Times published a letter to the editor from Weil, attempting to put an end to the persistent rumors:

It has seemed needless to deny the truth of the groundless rumor concerning my running for Congress from the Third District on the Republican ticket. However, since the rumor persists in recurring in the columns of the press, perhaps it is well that I state definitely that I am not considering—nor have I ever considered—running for Congress on the Republican, Democratic, Farm-Labor, Socialist, Independent, or any other ticket.