The L&N came into what was then known as Intermont in 1891.  It formally became Appalachia in 1906.  This Craftsman style train station was built around 1910.  Notably, it has a slate roof.
The card was printed by The Tecraft Company in Tenafly NJ.  That company registered The Tecraft Company as a trade name in 1946, when it was over 70 years old.

Judging by the quality of the photo and comparing it to other Tecraft cards on line, I would think this card dates to the early 20th century.  It’s in fair to good condition with just  two minor creases.

Note: back in 2012, I’d posted a picture of how the station looks now.  As the comment below notes, it’s a wreck.