If you are concerned about the advisability of low carb foods, I went through my first pregnancy with no cab restrictions, but I only ate foods which were not high carb - the no bread pasta rice potatoes etc rule.
My weight gain was minimal and the baby was a strapping 9 lb 3 oz boy who is now well over 6 ft tall - but I must warn you that he grew like a weed and did not sleep well at all - wanted to be fed or to play all the time.
It was long before I was diagnosed but I had always had to eat low carb to control my weight, so I had over a decade of eating low carb behind me before I fell pregnant. I recovered from the birth amazingly fast too - according to the nurses and midwives I saw.
With my second pregnancy I was just entering the third trimester when I mentioned low carb to the doctor and how well I felt, and he threatened to send me to hospital and have me 'fed properly' and in two weeks eating the diet he prescribed I was seriously ill with pre eclampsia. Luckily there was no bed available, so I got a reprieve over the weekend and when I went back on the Monday (after abandoning the diet) I was very much improved -probably all the trotting up and down to the toilet had helped, and it was such a relief to be eating all the fresh vegetables again - and fruits too, but at a much lower level of carbs than the 'healthy' diet as prescribed.
If you have been eating dense carb foods you might negotiate a bit of time to tr eliminating the highest of them and seeing if your morning levels fall. I found that high carb foods cause a spike which had a long effect on all my readings.