at risk potty training

my 14 week old pup has 2 out of 3 distemper/parvo shots. i would really like to potty train him, but our yard is unfenced and we have lots of deer. no stray dogs, but the occasional fox and bunny. will he be okay going in our yard? the lack of consistency with the pee pad has led to more accidents than i'd like. a vet said it should be fine, as long as he doesn't eat sticks or feces