Don't think the hd has any problem. Before I was using it with the pi, I sometimes used it in the desktop and downloaded torrents to it, and it worked just fine. I'm also able to play 1080p movies from there to..
The only thing I'm not 100% sure if it's right is the power supply. It's ratted as 1A, and 5v but I cannot be sure it is delivering enough power. The hd uses it's own power supply, but I don't know if it drains a bit from the rpi too...
Any good and relatively cheap power supply and/or powered usb hub you can recommend?
Best regards