Babies getting stuck 😳

Angel 💋 • Due March 15th with baby Kaiden💙
For anyone that's already had a baby!
Did anyone's baby ever get stuck coming out during a vaginal birth? My doctor said my baby is so big that if I deliver vaginally there's a chance that he will get stuck & they will have to break his shoulders to get him out causeing possible permanent damage.. He's expected to be 10 pounds but I've heard of women delivering babies 10 pounds & sometimes bigger. I'm being induced next Tuesday, should I request a c section or try to push him out vaginally? I'm so scared & I don't know what to do. My mom keeps telling me that most inductions end in a c section anyways. Help me out please this is my first baby!