It should make a full recovery after the initial stress.

Stoney

Other than broken branches/fruits, there should be no problem, as long as the root bulb is not badly messed up.

Ya, it should be fine. You'd be surprised what these peppers can actually handle! (...that is, after the seedling stage part)

Jay

Ha reminds me of a few weeks ago when I kept coming home to plants laying on their side. I just knew it was the doe I had seen on the other side of the fence, but never found any evidence of nibbling.

Finally I concluded it was just the strong winds toppling container plants needing watering, so built racks to keep them upright. Still we had a t-storm come through last week knocking over the tallest poblano. It broke a branch but didn't hurt anything. Just propped it back up and it quickly became stiff again.

Yes, peppers are some tough plants.