Do you mean Hotel Isha? If so, you will need to take the S-8 or S-9 from the airport to the Hauptbahnhof, and then the S-3, 4, 5, 6 from the main station to Frankfurt West. A better alternative is stay on the S-bahn coming from the airport and get off at the Hauptwache and then take U-6 or U-7 towards Hausen and get off at Kirchplatz.
Starting 24 Oct. the S-8 and S-9 will be leaving and arriving in the long distance station instead of the regional train station as they are working on the tracks. The Regional station will be closed from 24 Oct. to 14 Dec.
Take the once an hour train (07:53, 08:53, 09:53) from track 24 or 23, to Rüdesheim, walk to the KD dock, show them your train ticket and buy a ticket to go to St. Goar. Take the train back.