Yes, wren is a Scrabble word!
...and is worth 7 points in Scrabble, and 8 points in Words with Friends
wren
Noun
1. English architect who designed more than fifty London churches (1632-1723)
2. Any of several small active brown birds of the northern hemisphere with short upright tails; they feed on insects
What Scrabble words can I make with the letters in wren?
3 Letter Words
2 Letter Words