In 597 A.D., St. Augustine was sent to England by Pope Gregory. He met Bertha, a Christian, who gave him full use of her little parish church of St. Martin’s to preach in. From that time on he began to convert many people, including the King.
'From that time on' works very well here. 'From that moment on' does not work well, because 'moment' is too instantaneous-- it takes awhile to refurbish a church and attract a congregation. There are other phrases-- 'from then (on)', 'from that time/point', 'after that'-- but they are not as appropriate as the original.
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