Hi, not discouraging others from answering, but fyi, there are a few threads on the subject that can get you started
Did the Catholic Church hold back scientific and technological progress in the Middle Ages? - /u/restricteddata discusses the general question of whether the church impeded scientific progress
Why did the church disagree with scientist like Galileo in the renaissance? - /u/link00007 discusses the reception to Galileo's claims
When did the clergy/church stop being the main source for scientific though or breakthroughs and start to deny or in some cases fight it? - /u/RingGiver talks more about issues the church had with Galileo
I recently learned that most people during the middle ages actually believed that the earth was round and not flat, as opposed to the belief that the heliocentric model is relatively new. So why was Galileo put in house arrest? - /u/The_Manchurian discusses Galileo's house arrest