Hello Andrew Jayne ,
In the configuration section of the Blog Articles Widget, on the "Layout" tab, if you select the "Full View" option, you will be able to select "Show pinned items".
This will show any pinned items from the Channels that you are pulling in from.
Please see our article here: https://customercare.igloosoftware.com/support/knowledgebase/all_articles/articles/blog_articles_widget
Please let me know if you have any further questions.