Understandable, when you see how useful a CGM is.
I am not familiar with skin reactions for the Libre, but I am very familiar with those for the Dexcom. We have a long wiki discussing how to deal with such reactions, and most people find a way to accomodate it, even with severe reactions:
My feeling is that the very large majority of people would be able to surmount the problem using some of the techniques discussed in this wiki! The simplest is SkinTac, which we use as a prevention and also as a way to withstand frequent swimming practices. But there are many layers and levels 