Probably, all significant p-values disappeared after FDR corrections. If some q-values are lower than 0.1 you still may consider it as a trend toward significance.
Shannon entropy belongs to the alpha diversity group and estimate a diversity of microbial community within a sample, meanwhile Bray-Curtis is a beta diversity metric and estimate dissimilarity between samples. So, you have some differences in the richness within samples between your tested groups, but microbial communities of samples within each group are equally distant from each other as they are distant from samples from another groups of samples