The issue you have is that she is a rescue and you haven't had the chance to set her up from the beginning. I'm not saying you can't train her to the point you can trust her and she will do what you want, when you want, but it will be more difficult.
Personally I think the food aggression is only a small part of the problem and that your bitch (and the whole family) will be much better off from a serious effort to get her under control. If you don't have time or energy to put into her, it will not work (think 15-30 minutes of training every day for the next year).
I'll send you a PM with some initial thoughts (I am no expert dog trainer but I do have a fantastic deer dog who is a joy to be around).
Bookmarks