Servant of Tymaret

• WWizards of the Coast2014-02-01
  Official Ruling
  Inspired abilities trigger no matter how the creature becomes untapped: by the turn-based action at the beginning of the untap step or by a spell or ability.
• WWizards of the Coast2014-02-01
  Official Ruling
  If the inspired ability includes an optional cost, you decide whether to pay that cost as the ability resolves. You can do this even if the creature leaves the battlefield in response to the ability.
• WWizards of the Coast2014-02-01
  Official Ruling
  Inspired abilities don’t trigger when the creature enters the battlefield.
• WWizards of the Coast2014-02-01
  Official Ruling
  A creature taps when its regeneration shield is used, not when the shield is created. Notably, you won’t be able to use Servant of Tymaret’s last ability to tap it so that its inspired ability will trigger unless Servant of Tymaret would be destroyed.
• WWizards of the Coast2014-02-01
  Official Ruling
  If an inspired ability triggers during your untap step, the ability will be put on the stack at the beginning of your upkeep. If the ability creates one or more token creatures, those creatures won’t be able to attack that turn (unless they gain haste).

Rulings via Scryfall