Low Glycemic Diet — health?

I recently started a Low Glycemic Diet. I’m only 5% body fat, so I’m not trying to lose weight. I just want to eat a little healthier and feel a little better.

The main reason for this diet is to clear up my skin. I’m almost positive this is working, but I’m worried about how healthy this diet is.

I’ve been eating a ton of fruits and vegetables to make up for not eating grains and wheat. I would guess that 60% of my calories were coming from grains and wheat before and, now that I’ve cut them out completely, I’ve been feeling fatigued. I know that cutting carbohydrates out of your diet entirely is not very healthy, but I’m eating plenty of them by eating fruits and vegetables.

Is there something I need from grains and wheat that I’m not getting or am I just adjusting to a new diet?

Thanks