Killing Terminus with 'Snack Time' prevents him from using his reanimation ult.

If you have enough Shield active and are close enough, you can nullify her and finish her off before she can use Hunter's Mark or Fire Bomb.

Tyra has no movement abilities to run away, block her escape with a wall or use Warder's Field if she's close enough.

Be careful when standing near walls, as he can combo you with Planted or a Fully-Charged arrow while you're stunned.