Is what this woman was forced to do—treating patients using drugs prescribed to her by those she believes to be jinn—considered polytheism (shirk) or unlawful (haram)? And what should she do?

Those whom the woman calls "ghosts" are rebellious devils who exploited her weakness and lack of patience to dominate and harm her.

To escape this, she must seek help from Allah and cling to Him, reject the demands of these devils, and endure their harm. She will be victorious over them if she is pious and patient, in accordance with the Almighty's saying: "That [is so]. And whoever responds [to injustice] with the like of that with which he was harmed and then is oppressed – Allah will surely aid him." (Al-Hajj: 60).

The devils' claim that they guide her to heal people is false, and it does not give them the right to force her to do so or to harm her if she does not comply. This is proof that they are disobedient jinn or disbelievers, because a true Muslim, whether from jinn or humans, is one who does not harm anyone unjustly, as the Almighty said: "And those who harm believing men and believing women for [something] other than what they have earned have certainly borne slander and manifest sin." (Al-Ahzab: 58).

The question of whether her obedience to them is polytheism (shirk) or forbidden (haram) depends on the type of interaction with them. If she is not committing polytheism or forbidden acts now in her dealings with the jinn, she will eventually fall into them if she does not stop interacting with them.