it gets to your patio. Is there any chance of putting up a low stone or brick wall above the patio level and diverting the water downhill and away from the house? That would require that there are areas lower than your patio within 50 feet or so. The other option is to dig a long trench along the side of the hill, put in gravel, filter cloth, and perforated drainage pipe heading to some lower spot in the area. When you cover the pipe leave the downhill side higher than the uphill side.
Of course you can’t just dump the run-off into the neighbor’s yard or the street. If you are the lowest house in the area then plan on buying a sump pump that has a back up battery because you are going to need it!