بسم الله الرحمن الرحيم
Nowadays the alcohol which is mixed in various medicines and perfumes etc is not extracted from the dates or grapes rather it is extracted from various things such as vegetables and coal etc and such alcohol, according to Shaikhain (Imam Abu Hanifah and Imam Abu Yusuf – may Allah have mercy upon them) is not haram and impure as it is mentioned in most of the Fiqh and Fatawa books.
In present era, due to the necessity of treatment and ibtila-e-aam (common involvement of people), the scholars have preferred the opinions of the Imam Abu Hanifah and Imam Abu Yusuf (may Allah have mercy upon them). As the principle on which the earlier scholars had preferred the opinion of Imam Muhammad (may Allah have mercy upon him) is not found in the alcohol which is made of other than the dates and grapes. (For details see: Takmilah Fath al-Mulhim 1: 515, 516, 506, 507, pub. Dar Ihya al-Turas al-Arabi, Beirut, Ahsan al-Fatawa 2: 95, pub. H.M. Saeed Company, Bahishti Zewar Mudallal 9: 102, pub. Kutub Khana Akhtari, Muttasil Mazahir Uloom Saharanpur and Fatawa Nizamia 1: 438 etc.)
Thus, if a medicine contains alcohol in its ingredients which is made from other than the dates and grapes then you may apply it for your skin treatment. It is allowable. And if some other medicine is available for your treatment in the market which does not contain alcohol, whether it is Unani or allopathic medicine etc, then it shall be better for you to use it instead of the medicine that contains alcohol.
Allah knows Best!
Darul Uloom Deoband