Well, Mary of Exeter didn't have any problem with archers, at least as far as I'm aware, but she did get into a fight with some hawks the Germans kept. They wounded her in the neck and right breast, but she was able to return to duty after two months.
On a later mission she had a run in with someone with a scatter gun, got her wingtip shot off and several pellets in her body.
She was eventually retired after being hit by shrapnel, tearing her neck muscles badly, but still she got through. Her owner made a leather harness that allowed her to keep her head up even though the muscles were just so much minced meat.
Her retirement was however not to be as pleasantly quiet as a Lady with her merits deserve as in 1942 the germans managed to drop a bomb on the loft where she was spending her days. But once again she pulled through and survived even this, though a lot of the other pigeons in the loft were killed.
She was presented with the Dickin Medal in November of 1945, and eventually died in 1950.
With no dropped packages she had a pretty good record...