Put it in perspective. The risk of n dying from being run over from behind while riding a bike, while not deminimis is very low.

Less than 1000 cyclists a year die in car crashes. The significant majority of those are kids darting into traffic, or drunks riding the wrong way after dark without lights.

Very few law abiding cyclists are killed, and of that group an even smaller percentage are run over from behind.

Thus if you are a competent, law abiding cyclist, exercising some common sense in route selection, and riding technique, your risk is very low. Not deminimis, but lower than the risk of keeping your ass planted on the sofa.

So HTFU, and learn to assess risk on more than anecdotal experience.