Yes. You use an addon called "Turnin" http://www.curse.com/addons/wow/turn-in
You type /turnin window
Make sure it's on and that it automatically adds NPCs. Click Serr'ah in your garrison or whatever her name is and then type /turnin window again. You'll see her name. Check the box on her name and click her name and check the text below. It will auto click that text from now on when you right click her. Hold shift to prevent it.
Make sure to uncheck "Auto add NPCs" after you're done or you'll have an addon full of names you don't care about.
Edit: While this won't target her, you can make a quick macro for that with /tar. To interact with her, I'm not sure how to make that macro but there has to be one. Something like
And because you have Turn In set up, it will do the rest. So it's a one-button solution or theoretically should be that you could set to F12 or something. If you have Click to Move enabled, it SHOULD run to her as well if you're too far away if you have such a macro set up.
Turnin is one of the most useful addons I've used. Saves so much annoying clicking that takes a lot of time.