It’s uncommon, but some rabbits do chew their nails, for reasons unknown. I will say that biweekly nail trims is pretty frequent, and I wonder if that much attention to the nails may be causing her to attend and chew on them for one reason or another?

I would continue to monitor as you are for any signs that the surrounding skin or nail itself is not healthy in any way, and again, it’s possible it is something she does that will not do harm.

It’s strange that it is just one nail. Does the chewed nail look like a little nub encasing the quick? Sometimes rabbits will catch a nail on the carpet and damage it, but they don’t actually tear it off (so no blood). The damaged part of the nail (the outer portion) will slowly “die” and then fall off, leaving the little nub containing the quick behind. This little nub can be sensitive to pressure from walking on it and sometimes they will mess with it because of that.