Possible Clues:

• Nonconformist
• Dissenter's line seen way out
• Rising hem perhaps unknown in gaunt religious type
• Adherent of the main branch of the Methodist Church
• Part for method actor. Or methodist
• Eel yawns (anag) — follower of one branch of Protestantism
• Converted newly as English Methodist
• Christian playing partners no golfer's backing
• Woman, heading off to visit sickly chapelgoer
• Protestant working out a new line? Yes