It is just like applying snake skin. I guess you haven't done that either.
A lot depends on how thick the rawhide is. With deer rawhide I soak it in warm water while I'm prepping the bow. Clean the back of the bow put down a thin layer of Glue(I like TBIII glue) and let the glue set. When the raw hide is soft and pliable roll it up in a towel to remove the excess water, lay it flat and apply the glue to the flesh side and another layer to the bows back. Lay the rawhide down from the handle to the tip and work out the air bubbles and excess glue. I prefer to use 2 pieces of rawhide overlapped at the handle. If the rawhide is pliable enough it will drape over the limb and no wrap is necessary. If it doesn't lay well I use old bed sheets ripped into 2" wide strips to wrap it. After it has set for an hour or so I will remove the wrap, trim the excess rawhide with a razor blade from the edges(while it is still soft). Now let the bow sit in a dry area so the moisture in the glue will evaporate. I like to give it 3 days to a week , depending on the weather.
If you allow the first coat of glue to cure out completely(24hours) first, and you are using TBIII, it will help keep most of the moisture out of the wood thus making the drying time shorter.
Once it is completely dry you can dress up the edges with a file and sandpaper on a block. Add your regular finish the way you normally do.
