Does Satan see a person in the mirror, and does Satan have intercourse with a woman during a wet dream, especially if she is sleeping on her back, and is a woman sinful if she wishes for a wet dream?

Satan and his tribe see human beings from where humans do not see them. Satan may see them in the mirror.

A Muslim must beware of Satan by reciting morning and evening remembrances, frequently remembering Allah, maintaining purity, seeking Allah's help, and seeking refuge in Him from Satan.

A woman's wet dream does not mean that Satan has had intercourse with her; rather, it may be an imagination, just as it happens to men. Ghusl (ritual bath) is not obligatory due to a wet dream unless the woman sees semen. If the wet dream were a real occurrence (in terms of intercourse), ghusl would be obligatory even if no semen was discharged.

A Muslim should not wish for anything except that which contains true benefit for them in this world or the Hereafter. They should turn their thoughts away from wishing for a wet dream, especially if it involves a specific person, out of fear of temptation.