You partake in a piece of media. Frankly, you find it to be just terrible. The acting is wooden, the plot is boring and unrealistic, the effects are cheap, the soundtrack is annoying, the writing is poor (if not offensive) and the costumes are ugly.
Worse yet is the Aesop the show attempts to give: The logic of its arguments is hypocritical, if not nonsensical, its world-view is unnuanced, the characters frequently burst into boring monologues concerning what are almost certainly the author's opinions on the subject, those who disagree with the opinion are dismissed unsatisfactorily, and the general preachiness makes it a chore to get through.
And the worst part of all of this? You actually agree with what the work is trying to say.
Related to the concept of the Clueless Aesop, Don't Shoot the Message is the phenomenon that results when viewers feel the need to explain that, while they are in agreement with the message attempted by a work, they hate the delivery enough that they still find the work intolerable. Quite often, this is because they consider the message's delivery to be about as subtle as an anvil to the face in a way that drags the whole work down. They might consider the messenger to be Right for the Wrong Reasons, or the message to be too oversimplified or laden with straw. The work is seen as preachy, even to the proverbial choir that is being preached to. The above description gives an extreme hypothetical, but you do not need to think a work is So Bad, It's Horrible to qualify; you merely have to dislike it for any of a hundred reasons unrelated to its Aesop.
Such a position should not be seen as particularly incongruous, but it is often assumed that those who dislike a work necessarily disagree with its point of view. Many times, it is indeed the case: If an unpalatable bias is detected in a work, people will steer clear of it. However, the a priori assumption that this is the case is most certainly an invocation of Logical Fallacies — for instance, hating a corny anti-drug PSA does not mean that one supports full legalization.
One possible form this could take is a Space Whale Aesop. Contrast this with Strawman Has a Point, when one can't help but agree with the opposite of the work's position, not so much because of one's prior beliefs as because the work did such a bad job of portraying the opposition. This could also lead to a Logic Bomb if your reason for shooting the message is because of the messenger's hypocrisy. Also contrast Hard Truth Aesop, when An Aesop is viewed as valid despite its unpleasantness due to its handling in the work. Compare Stealth Parody, which can differ from this trope only in creator intent, and due to Poe's Law may be confused for each other. If this occurs In-Universe, it's Jerkass Has a Point.
Also related to Hitler Ate Sugar, when a viewpoint is criticized on the (fallacious) grounds that someone who held it was a bad apple. Those too eager to avoid this characterization may resort to the No True Scotsman fallacy ("that person isn't a real example of X").
Not to be confused with Shoot the Messenger.