Jordon Hudson went completely off the rails during Bill Belichick's CBS interview -- to the point where she stormed out of the room and delayed shooting for 30 minutes ... sources familiar with the situation tell TMZ Sports.
Belichick agreed to do a sit-down with Tony Dokoupil of "CBS Mornings" to promote his new book, "The Art of Winning," but it turned into an L -- at least PR-wise -- when his 24-year-old GF interrupted the interviewer, asking Bill how they met.