If it is something lodged in the throat the object is probably at the widest point in the throat. It also appears somewhat cocked to the side, so it is unlikely you would see anything just looking down the throat. Usually the expanded throat is not part of a respiratory infection. However it is possible that your snake may end up with an infection due to something lodged in the throat.

Again, see if the throat has give, or has some kind of underlying structure holding it open like a foreign object. That would be the best place to start for diagnosing thenproblem. Again, passive is the safer route, however touching done correctly can be much faster and more effective, although there is the potential of injuring the snake further. In either case, while transporting the snake to the vet, avoid the throat region