What catagory does the Kim Davis' marriage licence case fall under?

http://goo.gl/yP5DW7
or
http://www.thestar.com/news/world/2015/09/03/kentucky-clerk-who-refuses-to-issue-gay-marriage-licenses-faces-court.html

Does it fall under civil disobedience? If not, why not?

By the way, the title of the article says “gay marriage license”, when it is all marriage license she refused to issue.