Yes, bemused is a Scrabble word!
...and is worth 12 points in Scrabble, and 15 points in Words with Friends
bemused
Adjective
1. Deeply absorbed in thought
2. Perplexed by many conflicting situations or statements; filled with bewilderment
Verb
1. Cause to be confused emotionally
What Scrabble words can I make with the letters in bemused?
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Words that can be created with an extra letter added to bemused:
G:besmudge