This would (probably) be Gladys Aylward. Born in 1904 (in London) and died in 1970. She was interviewed, but turned down by China Inland Mission (now, OMF). She travelled independently to China in 1930 (not the 1920s) and served many years there until 1947.
A couple of useful/interesting resources. Book "The Small Woman" by Alan Burgess. Movie "The Inn of the Sixth Happiness". Both cover her life and ministry, particularly in China.
I do not believe that China has opened its boarders to Missionaries yet. Hong Kong however has many missionaries.
American missionaries in China adopted some Chinese customs.
They were missionaries to Chinkiang, China at the time of her birth.
No. Tibet is legally part of the People's Republic of China, and proselyting and missionary work is prohibited by the Chinese authorities. There are no missionaries of the Church of Jesus Christ of Latter-day Saints in all of mainland China, only in Hong Kong and Taiwan.
Communist governments are usually against any missionary entering the country. Also some middle eastern countries who's teaching is Islam. It is my understanding that Mormon Missionaries will soon be allowed into China.
The Christian missionaries in China were impressed with the fact that many Chinese were interested in knowing Jesus.
Missionaries in China mostly came to advance religion. However, they have been engaged in development of schools and hospitals in most rural parts of China.
They felt missionaries and other foreigners were creating problems in China- Apex
spread Buddhism
Budhist
Nothing
Missionaries from the Church of Jesus Christ of Latter-day Saints (commonly called the Mormon Church) are not allowed in nations which forbid them or where it is too dangerous to safely preach. Some countries (particularly Muslim nations in the Middle East, Southeast Asia, and Africa) will allow humanitarian missionaries but not preaching missionaries. Other countries (such as Russia) have strict rules about missionary numbers and activities. (In Russia church missionaries are called "volunteers" because their preaching outside of church services is very limited.)Nations which do not allow missionaries at all include China, Cuba, Saudi Arabia, and North Korea. Israel does not allow proselytizing missionaries but there are some who serve at the BYU Jerusalem center or do humanitarian work.