Will the jinn's possession of my wife and the suffering it causes me continue, despite my consulting many sheikhs and our obedience to Allah, knowing that the jinn wishes to separate us?

You must continue the treatment and supplicate for the patient, for the Prophet, peace and blessings be upon him, said: "Seek treatment, for Allah has not created a disease without also creating a cure for it, except for one disease: old age." And Allah has promised to answer those who supplicate to Him.