Gingrich may have reason for hope. The brilliant and combustible Willmore Kendall was a professor and friend of Bill Buckley at Yale, and later a writer and editor at National Review. Kendall, the son of a Baptist minister, eventually became a convert to Catholicism and is said to have had three annulments in process at the Vatican at the same time — a record.
My reading is that he only needs one annulment to get his life in order, so that’s certainly not insurmountable.