I wouldn't worry too much. I didn't do a full on induction - I went right into low carbing and I still lost weight.

I'm not doing Atkins by the book - for myself I needed to find a way that I could make lo-carbing a part of my lifestyle rather than follow a "diet" that I was probably going to go off of once I lost the weight (As I have done before). I don't count carbs, but I only eat low carb items. It's working for me so far, but then I'm only on week 4.

Don't be too hard on yourself - Good Luck