You say it's a rat pup- are the eyes open or closed? For rats & mice, eyes open means they will fight (bite) back, but eyes closed are no danger to the snake. And in terms of food, eyes closed means it wasn't weaned yet, it was still nursing. Eyes open will take variety of solid food & water.
And for hatchling BPs, the normal "first food" (unless undersized) is a hopper mouse. You might want to refer to some of the sources of frozen prey & compare the size (wt.) of the feeder you bought to that of hopper mice- to ensure that your prey isn't overly large.
You said you had no luck offering a thawed rat? Did you warm it first? BPs rely on their heat sensing pits to recognize their prey- they like it warm. After thawing, many have luck using a blow dryer right before offering it. Getting her on f/t prey is kinder for the prey (rats are intelligent) & safer for your snake.
Another reason snakes refuse food is when they're in a new home. How long have you had her? Usually best not to try to feed a new snake for a week or 2- also avoid handling, as that's a distraction & causes them stress, even when it's not obvious to you.