What is the main conflict in The Letters of Abelard and Heloise by Peter Abelard?

The Letters of Abelard and Heloise tells the story of one of history's great real-world romance. The eleventh and twelfth century French theologian, philosopher and logician, Peter Abelard, was a famous and controversial man. Abelard grew up the son of a minor noble family and declined to become a knight like his father, instead focusing on philosophy. His great talent and upstart personality led him to get in disputes with his teachers, and due to his abilities, he often bested them. Because he often embarrassed prominent thinkers, many came to despise him. He was chased across provinces and threats were made against his life.