Just to post the solution (I was looking for as well)
Through the administrator browser select "Content" > "Section". Under the "Section Manager" you'll see the section name across that row you'll see a "Section ID". Create a link in your user menu like this and publish it.
Where sectionid equals the section number you want the user to be able to edit. You could also place this link somewhere else in the site as well, where ever makes sense for your site conditions.
As of 4.5 I don't think theres a way to allow users to choose which section to add news to unless you use a hack like this one: