Linen like sheers on an elegant rod.... So dreamy and cant go wrong!
You can put basic blinds/roller shades underneath for privacy

A cellular shade is a great place to start, they can help control light and you can layer over them any way you'd like. You can get free fabric samples on our website! http://cellularwindowshades.com/samples1.html

It doesn't seem like you have a lot of room to hang long drapery panels. I feel that they would be in the way. In your case, I would suggest crisp, well tailored roman shades in a neutral palette to keep your room from being overpowered by lots of fabric. I suggest an outside mount Flat style roman.

Are there other windows in the room? If there are, use a shade that will accomplish your needs whether it be total blackout so you can sleep in or semi opaque so that you have privacy. I suggest going with the blackout shade as you never know when you would like an extra hour of two of sleep. Roller shades of today come in many different styles and colours both in blackout and semi opaque. It can provide all the design notes you need to beautify the room whilst still being able to get some zzzzzzzzzzzzzz's

Roman shades would work best in this space drapery will be a bit heavy .