Induction after due date

Currently my due date is Saturday and the hospital did not have any inductions available until the evening of the Monday after. I know it is just a few days but I have been having a lot more nerves about potential problems arising like still birth because of the GD. Baby scored 8/8 yesterday, and I was 3 cm, 75% effaced, and her station was -3 when they checked me (it was my first time being checked so nothing to compare to last week). I know being anxious is not going to help my body relax and potentially bring her out sooner. Wondering if my doctor has taken this GD seriously enough since I have only ever had to track my fasting numbers. I do personally wear a CGM and rarely ever go above 140 (maybe 3 times since diagnosis) but it’s still nerve wracking. I just want this baby girl out and healthy in my arms!