The title might be a little tricky, so I'll elaborate.

I finished a website for a client, got it in Google Analytics and Webmaster Tools and is showing up fine and dandy in search results. When you google the company name, their site is the first result you'll get. However, the second result is a page in my portfolio site about this project. They googled themselves and don't like my site being the second result, because "people may end up in your site instead of ours". The page in my site simply describes my work in this project and offers a direct link to their site.

They've asked me to get my site out of the Google Results. Should I comply? On one hand, I want to keep a good relationship with the client; on the other one, this is a website I developed and I'm proud of. What should I do?