How does Do Not Disturb work in iOS with message Favorites?
If their chat settings are not included in their Apple ID then you will need to add the corresponding info. 

I do not have an iPhone and use Messages desktop version, so the only way would be to add my chat info in your contact settings for me to send messages when DND is enabled.

Best practices would be to add all levels of contact info, or ask every contact what info is part of their Apple ID, if you do not already know. That doesn't sound fun.

Keep in mind that it will still silence the alert for incoming messages.



If you want to completely allow a user to get through at all times, simply override all DND settings via Emergency Bypass.

NOTE: You have to enable Emergency Bypass for each contact individually.



How to turn on Emergency Bypass on iPhone and iPad


Launch Contacts from your Home screen.
Tap on the contact you want to enable Emergency Bypass for.
Tap Edit.
Tap Ringtone (for calls) or Text Tone (for texts).
Tap the Emergency Bypass switch. The switch should be green when
it's enabled.
Tap Done
Tap Done again.