The question in the title isn't well defined as "original orbit"? can mean anything. The answer depends completely on the interpretation of the reader of those words.
But let's put that aside as you explained what you really meant in your post.The analogy in your post is understandable but it distorts a real understanding of the proces. The mass difference between the bullet and a steel plate is much, much smaller than the difference of a big meteorite and planet earth, even when the meteorite is 6 miles/10 kilometers in diameter. To use a better analogy, what would happen to the trajectory of such a big meteorite when you fire a bullet at it? Yes, it would alter the trajectory of the meteorite but only on a microscopic scale.
The same applies to the trajectory of Earth when a big meteorite strikes earth.
Let's assume Earth and the meteorite are both perfect spheres and both consist of the same (uniform) material. For simplicity assume the radius of Earth is 6000 km and the radius of the meteorite is 6 km. The meteorite is therefor 1/1000th that of earth. The volume of a sphere is 4/3 pi r3. The mass of the meteorite would therefor be 1/1,000,000,000 of the mass of the earth. You can find the formula for momentum on internet. Calculate what would happen to Earth's momentum when the meteorite strikes Earth head on. Then ask yourself what the effect will be om the momentum when Earth and the meteorite deform when striking each other.