Definitions of Web designer on the Web:

• "Web design is the skill of designing presentations of content (usually hypertext or hypermedia) that is delivered to an end-user through the World ..."
  
  
• "A person who designs (and sometimes creates) web sites, and any associated application software"
  
  
• "A web designer is the person responsible for creating the design or look & feel of the web site. The web design will create 2-3 design ideas ..."
  
• "a person or business that designs and prepares content for the World Wide Web, including text, images, site architecture and multimedia."
  
• "The person who designs the look and navigation system of a website."

See here how did I become a Web Designer