Don't attach your church name to the ministry in any formal way.
SUB-BRAND OPTIONS
Option 1: Use the church name or logo + a functional name but do not create a distinct visual style for the ministry.
OR
Option 2: Use the church name or logo + a functional name + a distinct visual style (aka: a unique look and feel that gives the ministry some personality of its own, but no ministry logo, mark or icon. The ministry name should be shown as a type treatment only.)
OR
Option 3: Use the church name as a type treatment only (no logo) + a functional or evocative name + a distinct logo and visual style for the ministry. (Not used to promote the ministry externally.)
OR
Option 4: Use a functional or evocative name + a distinct logo and visual style for the ministry + the church logo in a secondary position. (Not used to promote the ministry externally.)
ENDORSED BRAND OPTIONS
Option 1: A distinct logo/identity + functional or evocative name + endorsed language + the church logo.
OR
Option 2: A distinct logo/identity + functional or evocative name + endorsed language + church name (no church logo).