Baby feeding question- what should I do?

We just had our first baby and as I had an emergency c-section she was very mucusy when born and not hungry at all. She's also very tired. So I wanted to breastfeed but she wouldn't latch and fell asleep at the breast, which became disheartening as i knew she'd be hungry. They started me hand expressing into a syringe, then I moved onto a pump. My supply is increasing nicely in 2 dats from 0.6ml to 20ml every 3 hours. But they're saying it's not good enough. I'm really upset because I thought pumping exclusively was a viable option for feeding my baby but apparently it's not. She hates latching abduct stresses both of us out. What do I do?