I couldn't agree more. I don't expect the writers of this show to have Tolkien's grasp of language and character but they could have at least attempted to pay homage in their portrayals.
My practice involves me closing my eyes and hearing the character(s) speak; if they sound as though they could be overheard in a modern pub or on a modern campus, my immersion is damaged.
To be fair, that picture is from a moment in the episode where she had reasons to try to hide the fact of being an elf, and used her hair to do so.
(Not that I'm a huge fanboi, I have my own criticisms, but I don't consider that to be one of them if you know the context of covering her ears. If anything I'd rather say it's just a poor choice of source material to make a poster.)
I read a comment elsewhere that remarked how the actor would have been better off playing a lady of Rohan; I am inclined to agree with their assessment.