DESPERATE for opinions!

My doctor is trying her hardest to make me get a c-section, i feel basically forced. I desperately do not want a c-section. The reason is because they think baby is 10-11 pounds. 3 weeks ago she was 9.5. im now 39 weeks and they scheduled a c-section without asking me. I told them that i would prefer being induced first to see if i could deliver her and if things weren’t going right we can do the c-section, they agreed and told me to call in two days to make sure it’s what i wanted. Well they called me back today and once again started trying to scare me with everything that can go wrong with me pushing out a big baby but cancelled my c-section and instead they’re making me go get another ultrasound and they said they refuse to induce if baby is past 10 pounds. i know she’s going to be past 10 pounds and they knew too, i mean she was 9.5 three weeks ago it’s obvious. so now i don’t know if i should get induced and try pushing like i so desperately want and take a risk, or have a c-section which is tearing me apart on the inside because i absolutely dread the idea of it. has anyone been in a situation like this? what would you do? I also would greatly appreciate advice on if you had a big baby and if they induced early/c-section or not? it makes me so upset why they couldn’t induce when she hit 9 pounds in the first place so i could at least try to push her out. i seen many articles on women saying they were induced a little early because a risk of a big baby, but my doctor denies it. i personally feel like another doctor would have done it, so baby wouldn’t have a risk and i could of had the birth i wanted. i feel like my doctor ignoring it stole the experience i wanted.. she just let the baby grow and grow and grow until induction wasn’t an option. she knew i wanted a natural birth 😔