Pink News: Author Anne Rice 'quits' being a Christian over attitudes to gays and women
"I quit being a Christian. I'm out. In the name of Christ, I refuse to be anti-gay. I refuse to be anti-feminist. I refuse to be anti-artificial birth control. I refuse to be anti-Democrat. I refuse to be anti-secular humanism. I refuse to be anti-science. I refuse to be anti-life. In the name of Christ, I quit Christianity and being Christian. Amen."She could always join the Unitarian Universalist Church, the liberal Episcopalians, the Liberal Quakers, or the Metropolitan Community Church, none of which are anti-gay. Indeed the MCC is run by and for LGBT people.
In addition, the Unitarians and Universalists and the Quakers have a long history of being in favour of science and reason (e.g. Tim Berners-Lee, Servetus, Robert Darwin, Newton, etc.). And the Unitarians (in 1904) and the Universalists (in 1860) were the first to have women ministers. I'm less well-informed about the history of Quakers, but they're very liberal too.