Using your AirPlay for livestreams online almost never translate well. It just cannot handle it and usually lags, glitches, freezes, etc. As Hogan said, just hook up an HDMI cable from the HDMI port on your laptop (or a converter, if not already built into your laptop) into the HDMI port on the television. This will ensure you get the best quality and connection possible! That's what I plan to do.