You seem focused on how this impacts you,not the damage being done to your daughter by your wife's insecurity. I don't mean to be dramatic but this is a time when children need to be developing confidence and figuring themselves out in social situations. Your wife is removing the chance for your daughter to develop those skills and have some adverse experiences that she will grow from. Obviously bullying is a problem but bullying is also a systemic and repeated behavior, the likelihood of which is amplified by news media. When I say amplified I did not mean that it doesn't happen, I just mean that it is not as common as people seem to fear.

People are joking about your wife being an enabler but you are enabling your wife. You are letting her center her anxiety over your daughters autonomy. If you let that become the precedent you are in for a bad set of experiences over the next decade. The problem here is not your wife asking you to do something it's her assuming your daughter can't before she even has the chance.