Deep blind image super resolution (Blind SR) schemes strive to provide high performances under various image degradation processes. Despite the significant advancement in the area of Blind SR, the performances of these methods still may not be as high as one would desire in the case of real-world degradation operations. In this paper, we develop a novel diffusion-based Blind SR method, which, by leveraging compositional zero-shot learning, is able to provide superior performances for both synthetic and real-world unknown degradation processes. Specifically, we first extract both synthetic and real-world degradation embeddings from the input visual signal in a compositional zero-shot fashion. Next, we have efficiently embedded such degradation embeddings in the architecture of our diffusion-based scheme for guiding the diffusion feature generation process. The results of extensive experiments have demonstrated the effectiveness of the proposed Blind SR method over the state-of-the-art algorithms. Our source code and pre-trained models will be publicly available.