Someone who studies prayer and its attributes. Someone who is a student of prayer and also practices prayer as a daily form of worship and communication with the divine creator (God).
Please see books written by Dr. Michael McCain ( Prayerology Series)
A prayerologist is someone who studies or specializes in the practice of prayer. They may incorporate various religious or spiritual beliefs into their study of prayer and how it impacts an individual's well-being or connection to a higher power.