Pyrewild Shaman — ruling 1

Pyrewild Shaman's last ability triggers only if it's in your graveyard when the creatures deal combat damage to a player. Notably, if Pyrewild Shaman is dealt lethal damage at the same time that a creature you control deals combat damage to a player, Pyrewild Shaman's ability won't trigger.

Pyrewild Shaman — ruling 2

If creatures you control deal combat damage to more than one player at the same time (most likely because it's a multiplayer game), Pyrewild Shaman's ability will trigger once for each of those players. However, only the first such ability that you pay for will return Pyrewild Shaman to your hand. Even if it's put back into your graveyard before the other abilities resolve, it's considered a different Pyrewild Shaman than the one whose ability triggered.

Pyrewild Shaman : règles, fonctionnement et interactions (MTG)

Pyrewild Shaman 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

Bloodrush — , Discard this card: Target attacking creature gets +3/+1 until end of turn. Whenever one or more creatures you control deal combat damage to a player, if this card is in your graveyard, you may pay . If you do, return this card to your hand.

How it works : Pyrewild Shaman

Original English text — Wizards of the Coast / Scryfall

#1August 7, 2020· Wizards of the Coast
Pyrewild Shaman's last ability triggers only if it's in your graveyard when the creatures deal combat damage to a player. Notably, if Pyrewild Shaman is dealt lethal damage at the same time that a creature you control deals combat damage to a player, Pyrewild Shaman's ability won't trigger.
No other card is named in this ruling.
#2August 7, 2020· Wizards of the Coast
If creatures you control deal combat damage to more than one player at the same time (most likely because it's a multiplayer game), Pyrewild Shaman's ability will trigger once for each of those players. However, only the first such ability that you pay for will return Pyrewild Shaman to your hand. Even if it's put back into your graveyard before the other abilities resolve, it's considered a different Pyrewild Shaman than the one whose ability triggered.
No other card is named in this ruling.