I wouldn't be too worried. From my understandings, I believe that you cannot find out somebody's ip adress from omegle and even if the person did, that doesn't mean they know exactly where you are. If your realy worried, you can go to myipadress.com and look at where it says location. If that location is just your state or even town, you have nothing to worry about. That person is not going to ring everybody's doorbell untill they find you. Hope this helps.
P.S. sometimes your ip adress location is not actually where your located. :) SO don't even sweat it, nobody's gonna kill you !