This is almost exactly what happened with us. After hours and hours of labor they did an emergency c-section, and since she was so far along by then the surgery was especially brutal. She was having trouble doing the minimum she needed for herself, much less trying to do what she could for the baby.
They kept forcing her to try but she couldn't produce. We finally demanded that he get some formula because he was clearly starving, and they made us sign a damn waver acknowledging the "dangers" of giving formula. It was a worthless waver designed only to intimidate. As soon as he got some formula he calmed down and immediately fell asleep. We ended up doing formula exclusively.
This just makes me so angry. They treat parents like they are morons. It sounds like they also pushed too hard for a vaginal birth in addition to trying to intimidate your family into breast feeding.
A few years ago, I saw a piece on TV about maternal death rates and one factor was doctors actually not believing what their patients said, especially patients of color.
My first baby, they didn’t believe me when I said my water broke at home. I wasn’t so far gone that the puddle in my closet could have been pee. They tested up my business, and said nope, no fluid, we’re sending you home. The nurses changed shifts when I was getting dressed, and new nurse asks why there is a wet spot on the sheets. I told her my deal and she’s like, sit down, I am testing the sheets. Sure enough, that was the slow trickle after the gusher in the closet. Maybe first class they take should be Respect and Listen to Your Patient 101.