Absolutely you can mix traditional windows with contemporary window treatments, although I don't think plantations are considered contemporary by any means. Ordinarily sash windows can have shutters installed over them, however I can see your sill is very narrow given your bottom pane sits forward of the frame. I can see privacy is no issue, in fact you have a great view and half height windows allow light in and keep peepers out, so I suggest plantation shutters fitted to your French doors, to allow tilt and directional light and a roman blind as the folds of fabric mimic the frames themselves to your corner arrangement. If they are too fussy for you a standard holland blind, however be creative, you can have a bonded holland which allows for a fabric front bonded to a block out backing, you can ask for a roman fold on the bottom making them look like a roman when rolled almost all up, and dress the window a little better, but Hollands can roll up into the frame and allow for maximum window when wanted.

We have white shutters also throughout,our couch is called latte so not a true white leather lounge, with the soft grey walls and have added white and blue lattice rug and I'm happy with it

I have an Edwardian villa I restored 7 years ago and my master bedroom is on the street front as well and not that light. I have 2 bay windows in the house. I struggled with privacy too (I can can sit in m bed on Sunday morning with a coffee and see people walking their dogs!) and when I go to get changed I don't want to pull curtains and change in the dark. Also my lounge bay has gorgeous stained glass work that I didn't want to cover, Btu I have a beautiful front garden that I want to be able to see. I looked at several solutions including shutters and had quotes etc, For the bedroom I decided on roller blinds, sheers and also a beautiful silk curtain. Sheers for privacy and to control the sun, roller blinds for darkness add a bump lined curtain for added insulation and sound proofing, The Lounge: I used sheers and a full length curtain with bump lining. I also have placed my curtain tracks quite high up to complement the high ceilings. I decided on this as sheers give you privacy, control the sun; curtains give you insulation and also soften a room; both options can be pulled back off the window so that you can appreciate and see the window; they also complement the style of these older homes, If I was to do this again there are amazing thermocell blinds that can be attached at the bottom meaning that you have the option of pulling then from the bottom up. If you pulled them halfway up, his gives you privacy but still lets the light in.The have amazing insulation properties and they give you a cleaner look if that is what you are after. If I was dressing the windows again I would definitely look at this option as an alternative, I really encourage you to not install shutters or wooden venetians. I think they can darken a room and be heavy looking. I know lots of people install them in villas but I personally don't think they are the best or only option. PS just re-looked at your photo: I would recommend a sheer and curtain on a double track, Place the track higher; make sure the track is wider enough that the curtain can stack off the window; consider a wide heading tape (eg 160 mm is what I used to suit the proportions of the room and curtains). .

I would have it painted a white . Perhaps buy some sample pots in different whites and try on the wall to see which suits you .