As for Christianity itself, Christianity in China is complicated by three major questions – “Rationally explain in a rational manner the Trinity,” “Is Confucius saved, why should we revere your Lord Jesus when China has a much older philosophical tradition than the west,” and “Catholics and Protestants worship the same god, why do you try to steal each other’s believers, convert, condemn to hell, and try to kill each other?” To the author’s own limited knowledge, the world’s greatest theologians could not agree on the color of an orange less than agree on an answer to just one of these questions.
Christianity was, AFAICT, doing respectably at winning converts in the late Qing period, and is doing pretty well now, so clearly these questions aren't that much of an impediment to evangelisation.