When animals die, the muscles go into rigor mortis. You have to wait for the rigor to pass, or the meat will be tough. If you are super quick, you might be able to get the bird processed and into the frying pan before rigor starts, but you would have to be a really fast chicken processor.
It's OK to refrigerate for 2 days and then freeze. Or you can freeze immediately and leave the bird in the fridge to thaw for a couple of days before cooking. Whichever way you do it, keep the meat well chilled. Don't leave it sitting around at room temperature for any longer than is necessary to get it processed.
If you keep the meat chilled, you don't have to worry about bacteria on the meat. Cook it until it is done, don't lick the raw chicken, wash your cutting board and knife, and don't get raw chicken into contact with things you are going to eat raw. The same as you should be handling chicken from the store.