Schwarzbein does touch on gluten intolerance and in her 3rd book, The Program, she has some gluten free menus. But I think she includes things like corn tortillas....But yes, I do think that gluten intolerance does worsen depression. Anniriki, what is your blood type? Not everyone likes the blood type diet theory, but are you by any chance a type A? They typically don't do well on red meat and it would worsen their cholesterol.
If you are type B or O, then I guess it's not correct in your case. Would love to hear though what type you are?