I have a 6 day old. I’m breastfeeding.

Every day it’s like she’s on me every hour!! She falls asleep, I wake her up.. sometimes she’s awake the whole time!! But it’s every hour!! So I started pumping and got a couple bottles.. but today I was so overwhelmed and tired I gave her some of the formula the hospital sent me home with..

Now I feel a few different things; mostly I feel like a failure but could I have messed her tummy up? Will breastfeeding be effected by this?