Well it sounds like it was a quick death at least. And, it is a good thing you maintained control of the Vehicle.
Some People try to get out of the way of Animals and end up in a Car Accident because they swerved to avoid hitting it. Unless it is a large Animal like a Deer or a Cow don't take a chance on swerving and hurting Yourself or someone else.

I own 5 Cats and there is nothing you can do to stop them from doing what Cats do.

I have gone out at night and found one of My Cats rolling around in the middle of the Road. There is just nothing you can do short of keeping them caged to save them from themselves.

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84 300D, 82 Volvo 244Gl Diesel