Answer:
I've been in the Website hosting and design business for 13 years - "Website" is the more correct usage, or at least the one most commonly used in the business.

The word 'website' is a noun and not classified generally as a proper noun. The rules for capitalisation would apply as for any other ordinary noun.
First answer by TSD -RAVEN-. Last edit by Lazarus. Contributor trust: 1077 [recommend contributor recommended]. Question popularity: 3 [recommend question].