Antonyms for the word "bee bonnet" could include various headwear types that do not relate to beekeeping. For example, a baseball cap or a beret would be opposite to a bee bonnet in terms of style and function. Other antonyms might include helmets, hoods, or headscarves. Additionally, if we take the word "bee" to mean busy or active, antonyms could also include headwear that represents relaxation, such as a sun hat or a floppy beach hat. Ultimately, the antonyms for "bee bonnet" are varied and dependent on interpretation, but they generally refer to headwear that differs in style or purpose from traditional beekeeping garb.