Sorry, Bud. Of course there s a Bush doctrine. Just Google it and bring up thousands of references. It has been around for some time, it's widely know and widely interpreted to be:
the controversial policy of preventive war, which held that the United States should depose foreign regimes that represented a potential or perceived threat to the security of the United States, even if that threat was not immediate; a policy of spreading democracy around the world, especially in the Middle East, as a strategy for combating terrorism; and a willingness to pursue U.S. military interests in a unilateral way.
So what? The Powell Doctrine was also a media term and so was the Monroe Doctrine 185 years ago. Everybody understands those terms clearly, too. The policymakers never coin these terms for themselves. They are applied popularly and find their way into the official vernacular.
It was embarrassing all right and it killed her, as it should have. A Presidential candidate has to be smarter than that. She should have known it if she knew anything at all about recent US foreign policy. This "gotcha" business is a lame attempt to expain away her clear naivite.