Generally, when individuals obtain information about epidemic risks, they will awaken their self-protection awareness and thus independently take various effective self-protection measures. However, there are often significant differences in the reactions of different individuals. In order to more comprehensively explore the influence of differences in the ability of individuals to identify or accept external information on awareness diffusion, as well as on epidemic spreading, in this work an awareness-epidemic double-layer network with higher-order interactions is constructed, an individual heterogeneity factor is innovatively introduced, and the unaware-aware-unaware-susceptible-infected-susceptible (UAU-SIS) awareness-epidemic spreading model is proposed. The heterogeneity in this model is mainly reflected by individuals’ first-order degree, second-order degree, coordination factor, and response factor. By using the microscopic Markov chain approach (MMCA) and the proposed UAU-SIS model, the coevolution of awareness and epidemic are theoretically analyzed, and the mathematical expression of the epidemic threshold is theoretically deduced. Monte Carlo (MC) numerical simulations verify the feasibility and effectiveness of the MMCA theoretical analysis. Meanwhile, the influences of individual heterogeneity on awareness diffusion, epidemic spreading, and epidemic threshold are investigated through numerical simulations. The results show that reasonable regulation of the first-order average degree and second-order average degree of the awareness layer can effectively promote awareness diffusion and improve the overall effect of epidemic prevention and control. In addition, reducing the coordination factor or increasing the response factor can effectively promote awareness diffusion, raise the threshold of the epidemic, and thus block the epidemic spreading.