Possible Clues:

• Hope to shy (anag) - mystical belief
• He and she are religious in this sort of way
• The old lady wants divine inspiration?
• The old woman thought about religion
• Form of religious belief
• Mystical system Henry introduced to eccentric Soho type
• Religion of the opposition with strange hoops to go through
• Blavatsky's belief gives hope to shy criminal
• Phooey! This I rejected, possibly, as a religious system
• Huge work by chap going into your belief system