The current article broadly environs the introduction of rough deferred statistical convergence via difference operators as an extension of rough convergence, in the setting of L-fuzzy normed space. The paper also discusses the inevitable limit set of the novel convergence along with the proof of it being convex and closed with regard to the L-fuzzy norm. There is a further establishment of Δrj-deferred statistical cluster point and investigation of relations between the set of cluster points and the aforementioned convergence limit set.