BBQ sauce...maybe. But this is the first I’ve heard of the “hot sauce.” Maybe people misunderstood her and she was actually referring to gin, vodka, and bourbon when she said “sauce.”
There’s a long tradition of packing a little heat in condiments or cooking sauces in southern and soul food not to mention Louisiana Cajun. Tabasco, Crystal, Texas Pete, Frank’s, there’s a list as long as your arm, they’re made in the United States for American dishes and they’re used on practically any meat, even many green vegetables.