The college student claims she was threatened over the video by the Kappa Kappa Gamma sorority after she was filmed without her consent, and then kicked out of her chapter.
She names Kappa Kappa Gamma's national chapter and two of its employees as defendants in the complaint.
Dunn said his client is asking for the video of her and several other sorority sisters to be given to a neutral third party, and for the defendants to identify who saw the footage.
She is also asking for more than $1 million in damages and for all copies to be destroyed, Fox4 reported.
The women, Dunn added, were encouraged to keep the ritual secret.
Some of the sisters, who danced to Carrie Underwood's "Cowboy Casanova," were topless, though "Jane Doe" was not, the Dallas Morning News reported.
Dunn claims the women were told they couldn't film or take pictures of the event, but unbeknownst to them, they were being filmed the whole time.
"A camera was installed in the same room and recorded the event without their knowledge or permission," the statement said.
Instagram: @kappakappainstagamma