Can you ignore unavoidable damage?

Specially can I use "Protected" to ignore the damage dealt by "Endurance"

Protected
Choose a character.

(Optional) If the character does not already have two action tokens on it, damage dealt to the character as a result of a single action is ignored. After that action is resolved, give the character an action token and remove this feat from the game. If the character already had one action token on it, giving it a second action token deals pushing damage normally.


Endurance
Prerequisites: {fist} and {starburst}
Choose a character.

When the character would be dealt pushing damage, you can instead choose to deal no damage to the character and put an endurance token on this card. If there are endurance tokens on this card when the character is given an action, after the action resolves, roll a d6. On a result of 1 or 2, deal the character unavoidable damage equal to the result plus the number of tokens on this card, then remove all tokens from this card.


Thanks.

Nope, unavoidable is damaged that can't be evaded, reduced, transferred or ignored. It is unavoidable, so the protected feat will not work against it.

Unavoidable damage is unavoidable so there's no way around it

What you want is something that will block or ignore the effects of the feat rather than the damage.

Heres what you want:

Load up your Endurance figure from Nova Blast or some other hard to ignore pushing damage source and then just turn it off for the rest of the game.

Umm... I don't think Thwart would do what you want it to do. Namely, it would prevent you from being able to use the feat (meaning you couldn't put Endurance tokens on it while there is a Thwart token on it) so you could only use it once (or twice if you're lucky enough not to hit the roll) before you'd have to shut it off... not worth preventing normal pushing damage.
Granted, this is a good way to use Nova Blast without taking the damage from it (although quite expensive as you'd have to devote 20 points in feats AND worry about having a figure with OW/Mastermind in the build so it's an option at all)... can't say I've ever thought of it, but you'd have to build the right team to do it.