Can I still feed/pump with a bleeding nipple?

Hey everyone!

Brand new Mama here. My son is 3 days old and was a late pre-term arrival. He was losing too much weight while we were in the hospital after delivery, so my midwife told me I needed to supplement feeding with pumping until his weight picked back up.

Well, here I am now, 3 days later, and my poor nipple is destroyed. 😓 I just went to pump and instead of milk, blood started to drip out!

Can I still feed from this side or not? I’m not sure what to do!

Thank you!