This was not intended as a condemnation of the campaign or its antipoverty mission, Mr. Rondeau said, just a disagreement over “the distribution of some of the funds.”

Some bishops, though, are pushing back. In September, Bishops Jaime Soto, chairman of the subcommittee on the antipoverty campaign for the bishops’ conference, and Stephen E. Blaire, chairman of its committee on domestic justice and human development, sent a memo asserting that virtually all the accusations were without substance.

“We rely on the judgment of the local bishop and diocese, not the repeated accusations of those with clear ideological and ecclesial agendas,” they wrote in the memo, which went out to all American bishops.

The nine groups that have already lost their financing are the Rebecca Project for Human Rights in Washington; the Chinese Progressive Association of San Francisco; Young Workers United, also of San Francisco; the Washington Community Action Network in Seattle; Preble Street in Portland, Me.; the Latino Farmers Cooperative of Louisiana; the Los Angeles Community Action Network; RecycleForce of Indianapolis; and Centro Campesino of Owatonna, Minn.

In January 2010, Preble Street, a group that works with the homeless, was told that financing for a subsidiary, Homeless Voices for Justice, was being revoked. The reason given was Preble Street’s involvement in a campaign supporting same-sex marriage in Maine. Mark Swann, the group’s executive director, said Preble Street had gotten financing from the antipoverty campaign for 13 years.

“I had priests come into my office in tears and give me checks,” Mr. Swann said.

In December 2010, Vocal-NY, which helps homeless New Yorkers with H.I.V. and AIDS, decided not to reapply for funds after it was asked by the campaign to agree to the revised guidelines. “Privately, they were very apologetic about it, but we were being asked to sign a statement that would conflict with our beliefs and values,” said the group’s executive director, Sean Barry.

Catholics United, a social justice group based in Washington, has vowed to counter the pressure from conservative Catholics. James Salt, the group’s executive director, said it planned fund-raising efforts this year so groups would not have to lean so heavily on money controlled by bishops.