No indeed you don't.
I didn't know about your problems with diverticulitis - if this is the culprit would it be considered a better result or a worse one? It could very likely be the case with you especially as you haven't mentioned one of the awful symptoms of CD which is the never ending, overwhelming feeling of being generally 'unwell' which never leaves you. You begin to feel like a whinging, grizzly baby - if you get my drift - and this on top of the toilet problems and tummy ache makes lift a real slog. When all this clears up you suddenly realise how dreadful you've been feeling, so a gluten free diet is easily embraced.
Good luck, I hope the improvement continues - perhaps discussing it all has made you more relaxed.
Buckwheat is a seed that comes from Asia, I don't know what plant its from but its not wheat and has no gluten. Its an American name and these can be misleading, for instance their 'corn' is not the golden fields of wheat we see, but maize or sweetcorn ie cornflour as in custard powder. It is a carb I think, well I look on it as a carb when I'm using it for cooking.