I disagree with the give them 30 minutes after the shot to die..... ESPECIALLY in the rain! Which is what the OP said it was doing at the time of the shot. If you wait 30 minutes while it's raining you might as well kiss your blood trail goodbye. I NEVER I repeat NEVER wait after the shot and have only lost 1 deer in 40 years because it got too dark and the blood trail was very thin about 1 drop every 50 yards. Although I did recover the deer the next morning mostly eaten by coyotes. I am not afraid of pushing a wounded deer, but I am afraid of losing a deer because I did not start to track soon enough. Within minutes after the shot I am starting the tracking and recovery. This is what works for me and I will NEVER wait to track a deer that I have shot especially if I can't see the deer after the shot. No matter what the weapon.
Live it up! Doug