Empyrial Archangel is one of those cards players keep asking about. Here is, in plain words, what its official text says, the rulings published by Wizards of the Coast, and the combos players actually run.

Official card text

Flying Shroud (This creature can't be the target of spells or abilities.) All damage that would be dealt to you is dealt to this creature instead.

How it works : Empyrial Archangel

Original English text — Wizards of the Coast / Scryfall

No additional ruling has been published for this card.

Popular combos

Real combos played by the community, sorted by popularity.

#1
Empyrial Archangel + Rune-Tail, Kitsune Ascendant // Rune-Tail's Essence
Prevent all damage that would be dealt to youPrevent all damage that would be dealt to permanents you controlLock
1Empyrial Archangel redirects all damage that would be dealt to you or a permanent you control to it.
2Because Rune-Tail's Essence prevents any damage that would be dealt to Empyrial Archangel, no damage can be dealt to you or permanents you control.

#1
Empyrial Archangel + Rune-Tail, Kitsune Ascendant // Rune-Tail's Essence
Prevent all damage that would be dealt to youPrevent all damage that would be dealt to permanents you controlLock
1Empyrial Archangel redirects all damage that would be dealt to you or a permanent you control to it.
2Because Rune-Tail's Essence prevents any damage that would be dealt to Empyrial Archangel, no damage can be dealt to you or permanents you control.

Interactions with other cards

These cards' text mentions Empyrial Archangel.

Angel's Herald

{2}{W}, {T}, Sacrifice a green creature, a white creature, and a blue creature: Search your library for a card named Empyrial Archangel, put it onto the battlefield, then shuffle.