Wild rice isn't a whole grain. It's not precisely rice - it's a different grass seed. It's about the same carb-wise as rice, and it's a fairly quick carb. (Check out glycemic index.)

Basically, for diabetics*, grain should be whole grain (quinoa isn't a grain, and it does have to be cleaned to be safe to eat) so the fiber will offset the tendency of starch to be very quickly taken up into the system. Organic is irrelevant to the glycemic index; pesticides and fertilizer trace residues, if any, don't affect how the gut absorbs sugars.

*and according to the ADA, everyone should follow a diabetic diet. Yeah, that's going to happen any day now.