Yes, western is a Scrabble word!

Adjective

1. Relating to or characteristic of the western parts of the world or the West as opposed to the eastern or oriental parts

2. Of or characteristic of regions of the United States west of the Mississippi River

3. Lying toward or situated in the west

4. Of wind; from the west

Noun

1. A film about life in the western United States during the period of exploration and development

2. A sandwich made from a western omelet