Induction

Okay so I've just made 40 weeks and my last doctors appointment will be Thursday. My doctor said if I'm not showing signs of labor that she will send me in this Friday and start inducing me Saturday morning... now im nervous because what if it doesn't work & I have to get a c-section. Also im nervous about being in the hospital for a long time I've read with being induced it can last longer then normal labor...pretty much is it a bad idea to let her induce me? Also my doctors appointment last week I appreciate measured 35 weeks but I was 39, which makes me think something is wrong and that's why she wants to induce me... so many questions so many wonders please someone give me some answers 😭