A word processor is neither machine nor person, it's a category of software that can process word. profession is its edition.

according to your comment, it should mean someone who has good skills in OFFICE WORD.

A word processor is a machine. It is not a person. It is an electric typewriter. Today, everyone in the workplace has word processing skills.

I finally nanaged to find this on Google: Word processors set up and prepare reports, letters, mailing labels, and other materials on a computer using a keyboard and word processing software. The word processor uses word processing commands to format the material and instruct the machine to correct spelling or grammar errors, number pages automatically, adjust the margins or line length, or perform a host of other functions. After inspecting the completed document, the word processor can print out and arrange copies of the document for presentation or for filing. Word processors also often perform other clerical duties around an office such as copying documents and answering telephones. So looks like the phrase is not used much in this meaning?

Thank you , Eliot. I knew of this meaning of 'word processor' actually, but I came across it listed among other jobs (such as waitress, clerk, cashier ect) in an English textbook (Interchange, Cambridge University edition) so I was surprised and wanted to find out what else it means. '