Thank you for reaching out to us using our online Answers Forum. I can understand why you would want to view it on your Nook Tablet and would be glad to answer you questions. The answer is currently the Slingplayer application is not yet available for your device. You can check our "What's New" Section of the forums for the lastest Sling Media news.
I would check out these helpful links for more infromation:
Hopefully this helps out.
The Sling Media Moderation Team