Is it permissible to wipe over transparent medical stockings that cover the entire legs for the purpose of ablution, and what is the method of wiping if it is difficult to remove them?

Wiping over transparent socks is prohibited according to the majority of scholars. If the sock is thin, the more correct opinion is not to wipe over it. However, if a sick person needs to wear it and finds it difficult to remove, he may perform Wudu, then wear a thick sock over it, and wipe over the outer sock. If removing the medical sock harms the patient or delays their recovery, then it falls under the ruling of a splint (Jabeerah), and one may wipe over the entire sock. Your wife can perform Wudu for Fajr prayer, then wear the medical sock and a thick sock over it, and wipe over the outer sock. One of the shaykhs is of the opinion that this sock combines the ruling of a splint (due to its necessity) and the ruling of a khuff (leather sock). She may wipe over the obligatory area on her foot and treat it like khuffayn in terms of duration and wearing it while in a state of purity.