Can Stardust Dragon negate Tytannial Princess of Camellias?

Answer 1

Sometimes it can, sometimes it can't. Stardust Dragon says;

"You can Tribute this card to negate the activation of a Spell Card, Trap Card, or Effect Monster's effect that destroys a card(s) on the field, and destroy that card."

Tytannial says;

"You can Tribute 1 face-up Plant-Type monster you control to negate the activation of a Spell, Trap, or Effect Monster's effect that targets a card(s) on the field and destroy it."

Stardust Dragon can only negate effects that will destroy a card on the field - and while Tytannial can certainly negate and destroy cards like that, her effect can be used against cards that are not on the field too. She only cares about the location of the target, not the location of the effect.

So, a few examples.

Player A uses Snipe Hunter, picking a target. Because it is a targetted effect, Tytannial can chain to this with her negation effect. Because her effect will be destroying a card on the field, Stardust Dragon can use its negation effect against her.

Player A uses Exiled Force, picking a target. Because it is a targetted effect, Tytannial can chain to this with her negation effect. However, since Exiled Force goes to the graveyard as a cost, Tytannial will not be destroying a monster on the field. Stardust Dragon is unable to chain with its negation effect.