To be honest, nothing will happen than is bad for the engine.
Here's the link to Royal Purple's tech sheets for their engine oils:
http://www.royalpurple.com/prod-pdfs/motor-oil-ps.pdf
Some important numbers to look at:
Flash Point, Fire Point, cST @ 100C, SSU @ 210F
The Flash and Fire points will tell you how hot the oil can get before it will start to break down.
The viscosities tell you how thick the oil is at the testing temperature. The higher the number is, the thicker the oil is at that temperature, and for the most part, the better that oil will protect your engine when you get it good and hot.
Your 5W-30 oil will most likely be fine if you are just driving the car like a normal person. If you track the car, or abuse the drivetrain for really long periods of time, you run the risk of the oil breaking down in the critical locations, like the piston ring to cylinder wall area, and the connecting rod bearings.
You might want to run this oil change only 5k miles.
If you want to see if you can use the oil from now on, send off an oil sample to be tested at 2500 and 5k mile intervals.
BC.