Bloodfeather Phoenix — ruling 1

Bloodfeather Phoenix's last ability triggers only if Bloodfeather Phoenix is in your graveyard at the moment the instant or sorcery spell you control deals damage to an opponent or battle. For example, if you cast a sorcery spell that deals damage to an opponent and also enough damage to Bloodfeather Phoenix to destroy it at the same time, Bloodfeather Phoenix's ability won't trigger.

Bloodfeather Phoenix — ruling 2

You choose whether to pay {R} as the triggered ability is resolving. Once the ability starts resolving, it's too late for anyone to respond by removing Bloodfeather Phoenix from your graveyard to stop you from bringing it back.

Bloodfeather Phoenix — ruling 3

Most instant or sorcery spells deal damage themselves, but a few cause other sources to deal damage. For example, a sorcery spell that says "Target creature you control deals damage equal to its power to any target" wouldn't cause Bloodfeather Phoenix's ability to trigger even if an opponent or battle was dealt damage, as it's the creature dealing the damage, not the spell.

Bloodfeather Phoenix : règles, fonctionnement et interactions (MTG)

Bloodfeather Phoenix 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 This creature can't block. Whenever an instant or sorcery spell you control deals damage to an opponent or battle, you may pay . If you do, return this card from your graveyard to the battlefield. It gains haste until end of turn.

How it works : Bloodfeather Phoenix

Original English text — Wizards of the Coast / Scryfall

#1April 14, 2023· Wizards of the Coast
Bloodfeather Phoenix's last ability triggers only if Bloodfeather Phoenix is in your graveyard at the moment the instant or sorcery spell you control deals damage to an opponent or battle. For example, if you cast a sorcery spell that deals damage to an opponent and also enough damage to Bloodfeather Phoenix to destroy it at the same time, Bloodfeather Phoenix's ability won't trigger.
No other card is named in this ruling.
#2April 14, 2023· Wizards of the Coast
You choose whether to pay as the triggered ability is resolving. Once the ability starts resolving, it's too late for anyone to respond by removing Bloodfeather Phoenix from your graveyard to stop you from bringing it back.
No other card is named in this ruling.
#3April 14, 2023· Wizards of the Coast
Most instant or sorcery spells deal damage themselves, but a few cause other sources to deal damage. For example, a sorcery spell that says "Target creature you control deals damage equal to its power to any target" wouldn't cause Bloodfeather Phoenix's ability to trigger even if an opponent or battle was dealt damage, as it's the creature dealing the damage, not the spell.
No other card is named in this ruling.