All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
Since peeling that skin leads to plucking the hair of the eyebrows, then you must refrain from doing it.
However, if you must do so as a treatment, then we have already highlighted in previous Fataawa the cases when plucking the hair of the eyebrows is permissible, one of which is when it is obligatory as a treatment.
The same thing applies when the hair of the eyebrows is excessively abundant in a way that it causes harm, or that it constitutes a deformation to the creation to an extent of reaching the level of disfigurement.
Also, for more benefit on removing hair from the body in general, please refer to Fatwa 81950.
Allah Knows best.