Nurses are very different from doctors - doctors are normally a group impossible to please in health reforms (they were the biggest opponents of the NHS, for example; and simultaneously now the NHS is in place are the biggest opponents of Tory "free market reforms"). American doctors have large amounts of student debt and fear that single payer will lessen their incomes (disproportionately high compared with many countries) and mean they are less likely to pay back their debt. This may be an unfounded fear:
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3110239/but it is understandable, especially as most doctors in America associate government funded insurance with being paid less. As Bevan found, any move to single-payer would probably require a few mouths to be stuffed with gold.