Inducing next week almost a month early!

I go in for my 36 week appointment thinking it's just going to be a routine check up and I'll be on my way. Little did I know. Turns out my belly is measuring small, like three weeks too small. My doctor never seems concerned but that day, she was. So she scheduled another anatomy scan to measure my little babe and it turns out she's only 4 pounds 😔. I was then referred to the on call high risk doctor and she said I need to deliver next week at the latest. 

I wanted my little one here so bad but now I'm just worried that there's going to besomething  wrong with her when she's born. I just want my baby girl to be healthy. Has anyone else been induced this early? What was your experience?