We came home with a mix of BF and bottles. My boys were 30+5, so pretty similar to your DD, and started eating around 34-ish weeks, I think. It took a LONG TIME to get them to nipple all of their feeds (either from the bottle or a boob). Once they were eating everything orally, I was in the nicu for about 1/2 the feedings, and the other half were from bottles from nurses. Some feedings in our nicu HAD to be by the nurses from a bottle because they occurred during hours that the nicu was closed (7-9 am and pm). We also used nipple shields, and had to keep using them until they were 4 months old (one guy stopped needing it a month ago, the other guy a week ago). So don't be alarmed if this happens to you as well.
But really, the most important thing is that the baby comes home asap, right? Who cares how she's eating! Get her home! You can work on easing off of any bottles and onto the breast once she's home. This was my attitude. And hey, if she can come home without any bottle usage, that's a bonus!
Oh, and I had many crying fits too, you're not alone on that front. See my post in the Bringing baby home thread. Every time they'd have a spell I'd lose it. Plus, when they had spells with the nurses (but not with me) I became LIVID and had some very frank, serious conversations with the neonatologist about who could feed my baby. One time an OT was evaluating them, and the nurses told me that the way she fed one of them, she forced him to drink the last of a bottle that he didn't need/want, and he had a spell as a result. Of course that means "Oh, he's not ready yet, blah blah blah." I was SO PISSED. I straight up told the doctor "Never let her touch my baby when I am not here again."
Sending you good vibes! Hugs!