Final answer:
Kempe dedicated her life to religious pilgrimages and preaching after her period of illness and recovery.
Step-by-step explanation:
After her period of illness and recovery, Kempe dedicated her life to religious pursuits. She chose the path of religious pilgrimages and preaching, which was a common way at the time for devout Christians to express and practice their faith, especially after facing life-changing experiences. This was in line with the emerging forms of mystical and individualistic spiritual practices that were born out of the crises that followed events like the Black Death, which led to many questioning the established Church and looking for more personal forms of religious expression.