Exclude Categories

Hello. I have a need to exclude certain categories in a search. For instance, I use the shortcode to display sponsors assigned to categories A, C, and D and I want to explicitly exclude category B. I understand I can just not include B in the categories to search for but this doesn’t work for my use case where I have Sponsors that are assigned to multiple categories. For instance, I have a sponsor assigned to categories A and B. I would not want this sponsor to show even though they meet the criteria for being in category A, they are explicitly excluded because they are in category B.