According to http://www.thefreedictionary.com/Christ:
Christ (krst)
n. 1. The Messiah, as foretold by the prophets of the Hebrew Scriptures. Often used with the. 2. Christianity Jesus. According to http://en.wikipedia.org/wiki/Christ:
Christ
This page is about the title, office or what is known in Christian theology as the 'Divine Person.' For other uses, see Christ (disambiguation)
Christ is the English term for the Greekword ???st?? (Christós), which literally means "The Anointed One." The Hebrew word for Christ is ???????? (Mašía? , usually transliteratedMessiah).
The word is often misunderstood to be the surname of Jesus due to the numerous mentions of Jesus Christ in the Christian Bible. Often used as a more formal-sounding synonym for Jesus, the word is in fact a title, hence its common reciprocal use Christ Jesus, meaning The Anointed One, Jesus.
The WTS usage of the word is literally what they wanted. It is not specific and can be "normal" sounding to others.
It can refer to the anointed, or to Jesus with his title.
I assume your use of "A" Christ refers to their brand of Christ, and not the same Christ that most Christians understand.