Is stodgy a word in the Scrabble Dictionary

Yes, stodgy is playable

...and is worth 11 points.

Found in the following dictionaries

Enable (Words with friends)
SOWPODS (Collins Scrabble Words)
OTCWL2014 (NASPA Word List 2014)
TWL06 (NASPA List 2006)

"Stodgy" Definition

adjective

Dull, unimaginative, and commonplace.
Indigestible and starchy; heavy: stodgy food.
Prim or pompous; stuffy: "Why is the middle-class so stodgy—so utterly without a sense of humor!” ( Katherine Mansfield). See Synonyms at dull.
Solidly built; stocky.
Having a rich filling quality .