Will I have to be induced?

:) • ❤️
I'm 39 weeks 0cm dilated. But my cervix is very thin. My midwife had a hard time finding it last appointment she felt the baby's head very low she started to freak out and thought it was time to push. But afterwards she told me I'm not dilated yet 😞. She started talking induction and scheduled it for 40w6d. The only good thing is she said I wouldn't have to push for long because the babies head is so low. Is it possible to go into labor before then? I don't know why I'm not dilating I'm a very active person and have been my entire pregnancy. 😟