E10 is not a problem for automotive applications as long as you refuel at least once per month. You will see a very slight decrease in mileage vs straight gasoline because of the lower energy content of ethanol, but the difference is rarely more than 1-2%.
Other than hose and seal compatibility, which has already been addressed in most modern power equipment, E10 problems are the result of water absorption.
Ethanol is hydroscopic, so it slowly absorbs moisture from the air. E10 can hold about 0.4% water in solution depending on temperature. When that level is exceeded, phase separation will occur and most of the ethanol and water will drop to the bottom of the tank. Since ethanol increases the octane rating, the remaining gasoline is often below the octane rating of the engine and damage can occur even if the ethanol/water phase is removed by a water separating fuel filter.
High moisture content in E10, even before the phase separation point, can cause corrosion of soft metals (aluminum, brass, etc) in the fuel system. That's because automotive ethanol contains some sulfur, which can form sulfuric acid in the presence of water. The sulfur content of E10 has been decreased in recent years to reduce this problem. At least some gasolines and many aftermarket fuel additives contain compounds that protect metal parts from ethanol/sulfate related corrosion. But precipitation of sulfur containing components of the fuel can still occur during prolonged storage. This can clog filters.
E10 problems are much more common in boats and power equipment than in cars and trucks. The reasons for this are 2 fold: Fuel is typically stored for longer times in boats and power equipment and these engines have open, unpressurized fuel systems. Cars have closed fuel systems, so the rate of moisture entry into the fuel tank is much lower.
So again, as long as you go through a tank every month or so, you shouldn't have any problems running E10 in a hybrid or any other vehicle.
If you need to store your car for a long time, I recommend Sta-Bil. It contain corrosion inhibitors as well as antioxidants that inhibit fuel degradation. I've had good luck storing boats over hot humid Florida summers with a full tank of E10 gas treated with marine Sta-Bil.