It is the first thing that comes to mind when you think “cuticle bleeding” is taking place. I wouldn’t do it if I knew it was happening, but it is so easy to cut off your hair in the bathroom. I would also suggest that you never try cutting off your hair in the shower.
So now that you know how to prevent your hair from bleeding, you don’t want to cut it off. But, if you have a shower, you should know that you can prevent cuts where the hair meets the skin by applying a heat protectant on all the places where you’ll have a cut. I would tell you not to apply it on the cut itself. You can find a good one on Amazon.
If you are going to do this, try to put a heat protectant on the cut where it will eventually be exposed to water. You can also apply a heat protectant on the cut itself.