Gestational diabetes and a safe birth?

I'm a ftm. 37 weeks and 2 days. Any other mom's have gestational diabetes and have a safe birth, or healthy baby? I'm terrified of having a stillbirth and can't seem to calm my nerves. doc isn't concerned, I've been doing my insulin shots, been doing NST twice a week, he passes everytime, had my last ultrasound (due to fluid around his kidneys) my doc said everything looked good. Just took me and my fiancé 4 years to get pregnant and I just wanna hold my baby boy.