New Orleans ? Episcopal leaders, pressured to roll back their support for gays to keep the world Anglican family from crumbling, affirmed Tuesday that they will “exercise restraint” in approving another gay bishop and will not authorize prayers to bless same-sex couples.

The statement mostly reiterated earlier pledges by the church, and it will not be known for some time whether the bishops went far enough to help prevent an Anglican schism.

Presiding Bishop Katharine Jefferts Schori said she believed the document met the requests of Anglican leaders. But some Episcopal conservatives immediately rejected the statement as too weak because it does not bar gays and lesbians from becoming bishops.

Bishops released the statement in the final hour of an intense six-day meeting and at a crucial moment in the decadeslong Anglican debate over how the Bible should be interpreted.

The 77 million member world Anglican Communion has been splintering since 2003, when Episcopalians consecrated the first openly gay bishop, V. Gene Robinson of New Hampshire. The Episcopal Church is the Anglican body in the U.S.

Anglican leaders had set a Sunday deadline for the Americans to pledge unequivocally not to consecrate another gay bishop or approve an official prayer service for same-sex couples.

Archbishop of Canterbury Rowan Williams, the Anglican spiritual leader, took the unusual step of attending the meeting for the first two days, pushing bishops to make concessions for the sake of unity. Anglican lay and clergy representatives from overseas also participated, scolding Episcopal leaders for the turmoil they’ve caused. Williams and other Anglican leaders will evaluate the statement in the coming weeks.

Robinson said the talks with Williams and Anglican leaders were “the two hardest days since my consecration.” But he said he thought the document was fair.