Month old with high direct bilirubin? They say it's from my breastfeeding?

Maybe. It depends on how high the 'high level' is, and how healthy your baby is, better if the baby was full term, not as good if the baby is a premie. In general dr.S get worried when the level is near 20. It would be unusual for a level this high with a month old infant. There are 'baby metabolic factors' that are possible too. Have your doctor explain the evaluation process and tell you just how high.