I've worked and trialled GSD's for years, there's no reason why they wouldn't or couldn't be used for deer work. Tracking is tracking, they don't care what it is, just down to the training. Remember like many other dog breeds there are working lines and "others", health issues are minimised with working lines as they are supposed to be health tested prior to breeding. Socialising is very important for any breed, mine are super around all livestock and people.
What I would say though is to choose your breed carefully, they all have something to offer but most working dogs will fit into a type of work. I've seen labs and terriers doing protection work, but most people in the know will go for a GSD or Mali for that type of work.
Have a look at what people are using for deer, there's a reason why bavarians, teckels, GWP, WHV and labs are used.