Cindy,
If you're eating sufficient protein & fat, you won't be hungry & craving more carbs. Low carb isn't low fat. Believe a mistake people often make following restricted carbs is also doing low fat. That's a prescription for starvation:) The way to gain some weight, if you want to, is to slowly increase protein. You may not be getting enough. I found it hard to increase protein because I felt stuffed & made protein shakes because there's only so much meat I can eat.
I've gotten the eat more carbs lecture because I'm thin also. No thanks.
My lipid profile improved greatly from low carb & was far better than when I was a vegetarin eating extremely low fat. As Hana said, the ratio is what's important. I eat cheese, cream, butter, coconut oil, nuts. No vegetable oils, except unheated olive oil, & no transfats.
Another thing to look at is thyroid status. Hypothyroidism causes unhealthy serum lipids. Thyroid problems are common among diabetics & very common in women. Unfortunately, doctors only test TSH, which is useless. Free T3, Free T4 & Reverse T3 are the tests to determine thyroid function.