Instructions
All contacts added as favorites can bypass "Do Not Disturb" automatically; you do not need to follow the steps below. For contacts not set as a favorite, you can enable them to bypass "Do Not Disturb" by following the procedure below.
1) Open the Contacts app.
2) Tap the contact for whom you wish to allow bypass.
3) In the top right-hand corner, tap Edit.
4) Tap Ringtone.
TIP: Alternatively, you can tap Text Tone if you want text messages from the person to bypass "Do Not Disturb".
5) Next to "Emergency Bypass", slide the switch to the "on" position (to the right). Then, tap Done.
Outcome
You have enabled Emergency Bypass for that contact.
TIP: You can repeat this on any number of contacts in your contact list.