Sounds like you'll be find if you use the original 2A power supply and NOT connect power hungry stuff.
“Lastly, there’s an upgraded switched power source that goes up to 2.5 Amps instead of just 2 Amps - allowing your Pi to power even more powerful devices over USB ports.
Note: Our 5V 2A power supply still works great with the Pi 3. For most uses, you don't need 2.5 amps of power and our 5V2A supply should be sufficient.”
Still, it would be nice if they did make/source a generic USB wall adapter that can supply 2.5 A of current. Hopefully, this new Raspberry Pi will increase the demand for such a thing.
¹ — https://www.adafruit.com/product/3055