Is thefreerelaxationcd.com going to come up as often in the search rankings as freerelaxationcd.com?
Why would the addition of the word “the” into your domain make any difference to rankings? What makes the difference for one site ranking against another in the SERPs is the content on the site, how well it’s optimized for the search query, the number of incoming links it has, the age of the domain and many, many other factors.
The addition or subtraction of a keyword from the domain has very little, if any, impact on the site’s ultimate ranking. You might want to review my other posts about domains and SEO to clarify things.