Meat isn't bad at all. The low-carb/high-fat method hinges on the premise that you'll be eating very few carbs - FAR FEWER than what is prescribed by any of your nutrition "experts". None of us understand why the ADA & all their trained professionals are so hung up on carbs, but carbs are NOT a necessary component of a healthy diet. Anything our bodies need to maintain good health can be manufactured from other sources like protein. So go ahead & eat as you have been, only keep your total daily carbs under 40 or 50 grams. That's PER DAY, not per meal. Using moderate amounts of fat will be a great help & here's a good way to incorporate more fats.
So the sweets do have to go, and all the potatoes, bread, rice, pasta have to go too - anything made with grain, even if it's whole grain. Later when you get regulated, you can deal with adding back a few of these in small portions, but for now - no sweets/potatoes/bread/rice/pasta/etc.
If you have to lie to the nutritionists - go right ahead.
Or else keep your food log & BG log up-to-date & show them exactly how the low-carb/high-fat way of eating keeps your BG low! 
So the sweets do have to go, and all the potatoes, bread, rice, pasta have to go too - anything made with grain, even if it's whole grain. Later when you get regulated, you can deal with adding back a few of these in small portions, but for now - no sweets/potatoes/bread/rice/pasta/etc.
If you have to lie to the nutritionists - go right ahead.