Here is an example of how the Blogroll Pulldown looks on her site.
Of course the first thing I always do is search for an existing WordPress Plugin or Function. While doing this search I came across The Information Gateway blog which has a post about just such a function to add a dropdown blogroll. I tried the code TIG has posted but there was a small problem with it, so I modified the code to get it working.
My revised code is available here, simply add the function to your themes function file, and make the appropriate call as outlined in the code.