Belle Spafford at an International Council of Women convention
Image from lds.org
Today I was reading chapter 24 of the George Albert Smith book, which gave another little detail about the situation. Apparently certain "members of the council had been antagonistic toward the Church and had embarrassed Latter-day Saint delegates at its meetings" (GAS, 257). Wow! I love learning about when there's more to the story!
So, if you put the two sources together, this is the story you get (highlighted text is from GAS, other text is from DIMK):
Sister Spafford learned a great lesson from President George Albert Smith about sharing the Church’s values with the women of the world. Soon after she was sustained as Relief Society general president, “a letter came from the National Council of Women, announcing their annual meeting to be held in New York City.