Yes, gut is playable
...and is worth 6 points.
Found in the following dictionaries
Enable (Words with friends)
SOWPODS (Collins Scrabble Words)
OTCWL2014 (NASPA Word List 2014)
TWL06 (NASPA List 2006)
"Gut" Definition
noun
A narrow passage or channel.
A thin, tough cord made from the intestines of animals, usually sheep, used as strings for musical instruments or as surgical sutures.
Fibrous material taken from the silk gland of a silkworm before it spins a cocoon, used for fishing tackle.
Slang Courage; fortitude.
verb
To destroy the essential power or effectiveness of .
To destroy the inside of .
To extract all the essential passages or portions from.
Remove the intestines and other internal organs from (a fish or other animal) before cooking it.
Cause (someone) to feel extremely upset or disappointed.
idiom
Gut it out Slang To show pluck and perseverance in the face of opposition or adversity.
adjective
Slang Arousing or involving basic emotions; visceral: "Conservationism is a gut issue in the West” ( Saturday Review).
Arising from one's inmost self .
Having strong impact or immediate relevance .
verb-transitive
To destroy the interior of: Fire gutted the house.
To extract essential or major parts of: gut a manuscript.
To reduce or destroy the effectiveness of: A stipulation added at the last minute gutted the ordinance.
To remove the intestines or entrails of; eviscerate.
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