Yes, exordia is a Scrabble word!
...and is worth 15 points in Scrabble, and 15 points in Words with Friends
exordia
Noun
1. (rhetoric) the introductory section of an oration or discourse
What Scrabble words can I make with the letters in exordia?
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Words that can be created with an extra letter added to exordia:
L:exordial