The correct analysis of the cause-and-effect relationship between events involved in the intentional spread of Christianity worldwide over time is:
The Spanish Reconquista used violence to fight and convert non-Christian populations. Religious orders promoted peaceful conversions, and the age of exploration introduced trade routes that spread Christianity worldwide.
This statement accurately reflects the historical context, where the Reconquista involved violence against non-Christian populations, while religious orders like the Jesuits sought to spread Christianity through more peaceful means during the age of exploration.