[Phil] Not a wolf in sheep's clothing... (yet a few audience members give faint nods of appreciation)
[CdM} The word "dog" does indeed appear on the card.
[ImNotJohn] No, the words on the card do not involve the idea of hunting, yet there is a tangential connection.
[Raak] Not a dog's dinner.
[Chalky] No bollocks involved.

Time for a recap, perhaps - The answer is a well-known phrase that contains the word "dog'; does not refer to cannibalistic dogs; there is at least one other mammalian animal connection, non-human, which is not the domesticated dog Canis lupus familiaris or rabbits, or any Felidae; the phrase is non-Biblical; perhaps tangentially connected to hunting, and that the phrase "wolf in sheep's clothing" evoked a couple of faint nods of appreciation, as though tracking in the right direction.

[cfm]Not a dog and pony show.