Your podengo is absolutely adorable! Of course you shouldn't eat him - he's needed for service!
Sorry, Reino, I don't think there's a way to change that in the Overview - it was added because of a response you gave to an issue regarding "What to do about the overpopulation of the Pondengo." The response you clicked said something about making your national animal a "delicacy" or something like that (I think), maybe you hit the issue answer by mistake?
In any case, I think the part about "it's the nation's favorite meal" can't be removed until it gets replaced in significance by some new issue that comes up in the future.
I hope this makes sense,
-Rhoth