Most recent works of test-time adaptation (TTA) aim to alleviate domain shift problems by re-training source classifiers in each domain. On the other hand, the emergence of the diffusion model provides another solution to TTA, which directly maps the test data from the target domain to the source domain based on a diffusion model pre-trained in the source domain. The source classifier does not need to be fine-tuned. However, 1) the semantic information loss from test data to the source domain and 2) the model shift between the source classifier and diffusion model would prevent the diffusion model from mapping the test data back to the source domain correctly. In this paper, we propose a novel guidance-based diffusion-driven adaptation (GDDA) to overcome the data shift and let the diffusion model find a better way to go back to the source. Concretely, we first propose detail and global guidance to better keep the common semantics of the test and source data. The two guidance include a contrastive loss and mean squared error to alleviate the information loss by fully exploring the diffusion model and the test data. Meanwhile, we propose a classifier-aware guidance to reduce the bias caused by the model shift, which can incorporate the source classifier's information into the generation process of the diffusion model. Extensive experiments on three image datasets with three classifier backbones demonstrate that GDDA significantly performs better than the state-of-the-art baselines. On CIFAR-10C, CIFAR-100C, and ImageNetC, GDDA achieves 11.54\%, 19.05\%, and 11.63\% average accuracy improvements, respectively. GDDA even achieves equal performance compared with methods of re-training classifiers. The code is available in the supplementary material.