The defect CFT formed by inserting local operators along the supersymmetric Wilson line in N=4 SYM has received a lot of attention recently, and many new results have appeared at weak and strong coupling from a variety of techniques. In this talk I am going to focus on multipoint correlators in the weak-coupling regime, for which we derived a diagrammatic recursion relation that encompasses protected as well non-protected scalar fields. From this pool of results we conjectured new superconformal Ward identities that are believed to hold non-perturbatively. I will sketch how these identities can be used as the starting point for a strong-coupling analysis and discuss connections to other techniques.