He led the Philadelphia archdiocese from 1988 to 2003. He died in 2012.
The victim says she was a minor when the well-known leader allegedly took her behind a partition in a school lunchroom and groped her chest.
She says the crime happened while he Bevilacqua was a bishop in Pittsburgh in the mid-1980s.
Bevilacqua was accused in 2011 grand jury report of transferring problem priests out of Philadelphia parishes to new ones.
The Archdiocese of Philadelphia has not returned a request for comment.
You can read the full complaint containing the accusations against Cardinal Bevilacqua here.
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