For the past eight years or so, I have been driving up from Wisconsin and along the north shore of Lake Superior into Canada once a month. (My brother calls WI the state of the exploding deer). As an insomniac, I often drive in the wee hours in the dark. I cannot count the number of deer, wolves, eagles, bears, etc. that I have encountered along the way. Wildlife has jumped in front of my vehicle innumerable times. I have had many close calls but have made contact only once. I slowed down enough that I "bumped" the deer into the ditch.
Always be alert to the possibility of wildlife crossing. If you are familiar with the area, you will know where deer cross. When approaching areas I know are popular with deer, I will honk my horn although that may be whistling past the graveyard. A buck in rut will not be thinking much beyond does. Does will be warned off.
If an animal appears on the road in front of you, never, ever swerve. Apply brakes only as safe to do so. Hit the horn. Does often travel together - if you see one, there is a good chance others are behind it. Generally, the white tail deer is relatively small and if you do hit one in a reasonable sized vehicle, the deer will be toast but you will be fine. The mule deer are bigger and more dangerous. In Canada, what I fear are the moose (or swamp donkeys as they are referred to up there). Those suckers are tall, and when you hit them in the legs, they do come into the car with you.
In short, keep your eyes open and drive smart.