If I may offer some advice, I see a couple of problems/causes here.

If you're only getting 6 grams of carbs a day, that means you're not eating veggies. You. Must. Eat. Veggies.

Also, drink that water. Not only does it help you lose faster, but it helps flush toxins out of your body (including ketones) and helps your kidney deal with all that protein.

If exercising is new for you, that could also explain why you haven't lost any weight on the scale. Exercise builds muscle, which weighs more than fat...you know the drill! I stalled for several weeks when I started working out, but I was still losing inches. Are your clothes fitting more loosely?

Not to mention that it's TOM (time of the month) for you. That wreaks havoc with most women's weight loss. Don't sweat it, and stick with low-carbing for a few weeks. I promise you'll start to see results.