I have never bottle fed bunnies, but have bottle raised a lot of kittens. If that was a kitten, I'd say she is weak, and probably right on the edge of a respiratory illness, and treat accordingly. When kittens pant after they eat, it's because they are weak, and it is hard for them to nurse and breathe and keep up with both, it takes too much
energy.
Best of luck to your bunny! Hopefully someone who knows bunnies has more info!!