When you personalize Google News, you have the ability to tell us which news sources you would like to see more often, as well as the sources you would rather not see. You can do this on the Source Preferences page.
Click on the gear icon at the top of the Google News homepage, and select News Settings from the pull-down menu. This will take you to a page where you will see two boxes: one labeled More news from, and another labeled Less news from.
Enter the name of the news publisher in the appropriate box according to your preference, and click Add. (Do not type the URL.) You should see the source name appear in the relevant list below.
You can always change your source preferences if you want to add more news sites to either list, or restore a publisher to its default setting in Google News. Just go to the News Settings page and click Add or Remove as needed.
Sources you promote or demote will be ranked differently for you (but not for anyone else) in your Google News search results and at the top of your story clusters. Please keep in mind that demoted sources may not entirely disappear for you in Google News, and promoted sources may not appear in all of the stories you see. Finally, your preferences will apply to your specific edition of Google News -- if you switch to another language or country version of Google News, your source preferences will not carry over to the new edition.