If you pick out the things which are low carb - meat fish shellfish eggs cheese, and keep those on the list, then select things like the banana to remove - being high carb - along with bread, rice pasta potatoes porridge etc you can thin add in the low carb veges, salad stuff and lowest carb fruits to make up the difference. You can have cream with your coffee and berries - it really is not a bad diet at all and normally a type two, with luck, can drop their blood glucose right down, and I found that after a few weeks of it leaping around like crazy my BG stabilized and then went down - presumably my metabolism has recovered a bit.
Now I am over a year from diagnosis I could eat more carbs - but they really are the most boring bits of the so called healthy diet and I would not want to go back to eating them. Perhaps when I am a bit further on, and have lost more weight, I might bake some bread if I can find some nutritious ingredients, but white flour is not going to be looming large.