Posterior baby - no other choice than c-section???

Hi everyone, i'm currently 39 weeks and 4 days and yesterday at my check up the baby was posterior. For my previous 2 appointments, at 37 and 38 weeks, she was lying with her back on my right side but now she's fully facing my front. Now the problem is that my doctor doesn't wanna prolong it since she's already at 3600 kg and they don't deliver babies bigger than 4 kg so she scheduled a c-section for tomorrow. Since then i read probably everything on the internet and i saw that there are so many babies born posterior and also 90%chance that they turn before birth OR the doctor can manually turn them.

I talked all of this with my doctor and i asked her to induce me on friday morning and if by 5 pm( my c-section time) she didn't turn, then we can go on with it but she said it's easier for the baby like this and she doesn't want to do it.

So now i'm stuck crying my eyes out since a c-section is clearly not what i wanted, if it really is the only way then i take it but i honestly don't trust my doctor right now, after reading a bit.

Sooo, could you please tell me if you've experienced something like this or if there are other ways..or if i can help her turn the right way, anything that will do something. I'm honestly desperate.😣

UPDATE:

Thank you so so much for advice and for sharing with me your experiences!! unfortunately for me, here in Turkey doctors don't reccomend trying for a vaginal birth in case the baby is posterior. Since i posted the message i've seen 3 different doctors and all of them said they'd go for a c-section. We went on the 19th to check if anything changed after sitting on my hands and knees for 2 days and doing all the possible yoga movements and exercises but unfortunately baby didn't change her position, my contractions were starting and then stopping and my doctor gave me just 7 more days until she said she needs to do a c-section because baby would be too big🙄 so i just chose to get it done. I think this is the worst experience i've had until now, i hated every moment of it but i have a healthy baby and that's all that matters. Thank you again so so much!!