1. The state of being offensive yet too dense to notice or care.
2. A tendency in an individual to utter insensitive remarks without thinking of the implications of the comment or its consequences
3. An offensive verbal gaffe
"One day doctors may have a cure for your Joe Bidense, but until then make everyone happy and just pretend you're mute."
"The peace treaties were going well until she opened her mouth and her Joe Bidense took over."