Thanks for your email. I agree, I think if you can, try to breastfeed her exclusively. They learn so early that bottles are easy to suck, compared to Mom! Unless you're worried about her gaining weight, I would stick to breastfeeding. It should help your production, too. I would really ask a lactation counselor for an opinion, and stressing that you'd like to exclusively breastfeed. They are likely to tell you that the pump is still necessary until your supply is up...
Wish I could have been successful with that. My 32 wkr was put on a bottle in the NICU (and their bottles just leak out the milk). He was able to breastfeed, but I was unable to be at the hospital for 100% of the feedings, and of course, I had to pump (NOT AGAIN...). When he came home from the hospital, I should have lost the pump and just exclusively gone to breast - tho' I was so worried about his weight gain, and by then my production was poor and he was already used to the leaky bottles. That and the doctors didn't like that idea. I also went back to work soon after. It was a struggle.
Anyway, good luck with your feedings. The few times that mine actually got it going, was just an amazing experience.
son: 5 yrs, PE/HELLP 27 wks, 1lb 10oz
son: 2 yrs, PIH/low fluid 32 wks, 4lb 8 oz