Christians Hindered Medicine by not trying to expand the knowledge on anatomy because priests banned dissection until the 14th Century.
Also Christians Hindered Medicine by not spreading their Medical Knowledge, they believed in superstition and believed told people planets, God and the Devil controlled their lives when they had neither proof nor evidence to backup these ideas.
Islam
Helped
Islam Helped Medicine by Caring for the sick because although hospitals were rare in Britain in the 12th Century they were common in the Islamic populated areas which included; Baghdad which alone had 60 hospitals in the 1100swhen Londoners were marvelling at their first. In Cairo, the Al-Mansur hospital was founded in 1283 and was one of the scientific wonders of the age, It had separate departments for patients with different diseases, a library and lecture halls training to be doctors. There was also a kitchen that prepared special diets for patients and wards where convalescent (recovering) patients could stay there as long as they wanted.
Islam Helped Medicine by training doctors by training doctors in the many hospitals available which had a wide variety of ways to help them study to become Doctors for example there were libraries, lectures halls and the kitchens prepared special diets for patients and wards.
Islam Helped Medicine by spreading their knowledge of medicine by maintaining good libraries which students and alike could use as a good resource to keep up to date with Medicine and Arab scholars translated the work of Galen and Hippocrates into Arabic and these were studied by medical students. Arab doctors also increased knowledge by learning from Indian and Persian doctors.
Islam Helped Medicine by making sure Public health was up to standard by opening many hospitals in which they checked public health.
Islam Helped Medicine by easily allowing the use of Licensed Healers, both men and women to become Doctors and with more and more Hospitals opening it was impossible for the Hospitals to turn away the Doctors etc.
Hindered
Islam hindered Medicine by not spreading their knowledge of anatomy because Islam did not encourage new developments. Islamic law forbade the dissection of human bodies. Muslims also believed that the Koran contained all important so there was no point in trying to make new discoveries.
Islam Hindered Medicine by not searching for effective treatments because their attitudes to the Koran meant that they were unwilling to criticise other ancient books, such as the writings of Galen.
Islam Hindered Medicine by not trying to develop new ideas because doctors believed that understanding theory was more important than practical experience, Muslims also believed that the Koran contained all important so there was no point in trying to make new discoveries.
Islam Hindered Medicine by not explaining disease because they thought they should not dabble in trying to explain it rather than concentrate more on theory, even great doctors like Rhazes and Ibn Sinna thought that doctors should not dabble in surgery and alike.
Conclusion
In Conclusion to the question ‘Which Religion Did More to Help or Hinder Medicine – Islam or Christianity?’ In my opinion I believe Islam helped Medicine more and Christianity Hindered Medicine more because of the points I have stated above and Islam did not worry with sending people to prison over even discussing new ideas contradicting the likes of Galen ,but it just went against the Koran to criticise other works and books, Islam had far more hospitals in Baghdad alone there were 60 in Medieval England over 1200hosipitals have been identified but only 10% care for the sick unlike all the hospitals of Islam population cared for the sick and were not just for ‘hospitality’. Islamic Hospitals had libraries, Lectures Halls, unlike Christian based hospitals in my opinion the points I have listed above clearly state that Islam Helped Medicine more rather than Christianity Hindered Medicine more.