You now have a mixture of 1:100, while two stroke engines typically run a more fat 1:50 to 1:25.
The oil is made to be burned this way, it doesn't give much smoke and soot, especially at that low concentration. Your 4 stroke motor should run fine with this mixture, too. Remember, there are people out there which always add 2S oil to their diesel, and some to their gas "to clean the motor". They typically also use something in the order of 1:100 to 1:200.
2S oil easily solves in fuel, and typically, one first adds oil to the tank before filling it up with fuel. That's sufficient to mix both. But if the oil is added to the full tank, it may sink to the bottom, get sucked into the fuel lines, and clog the fuel system. The pure oil doesn't burn, but i guess it didn't find its way into the motor, yet.
So, my advise is to flush the entire fuel system with fresh fuel (from the top of the tank, and to ensure the oil and fuel in the tank are mixed well. If possible, remove as much of the fuel as you can, and put it back into the tank. The movement of the fuel should be enough to mix it with the oil.