Here's some reading pointers:
- Anthony Goodman, Margery Kempe and Her World
- Raymond Powell, "Margery Kempe: An Exemplar of Late Medieval English Piety," Catholic Historical Review 89, no. 1 (Jan. 2003)
- Rosalynn Voaden, God's Words, Women's Voices: The Discernment of Spirits in the Writing of Late Medieval Women Visionaries (be sure to read the intro chapters as well as the one on Kempe specifically)
- John Arnold and Katherine J. Lewis, eds., A Companion to the Book of Margery Kempe (some of these are more "literary", but others are more historical and should prove useful)
- Depending on the direction you want to go: Nicole Chareyron, Pilgrims to Jerusalem in the Middle Ages, and Judith Bennett, Ale, Beer, and Brewsters: Women's Work in a Changing World, 1350-1600 might prove helpful
- Gabrielle Geertz-Robinson, "Stepping into the Pulpit? Preaching in the Book of Margery Kempe and Examinations of Anne Askew," in Voices in Dialogue, ed. Linda Olson and Kathryn Kerby-Fulton
Kempe is a blast to read--just let her jumbled narrative and, er, "strong" personality carry you along.
Good luck!