I had a question regarding this ability and what causes it to trigger. It says a 'hit' but does a hit necessarily include a damage roll or does this include when an attack is above the character's touch AC but not the character's total AC?
Here's the description of the ability.
Wrath of the Storm
Also at 1st level, you can thunderously rebuke attackers. When a creature within 5 feet of you that you can see hits you with an attack, you can use your reaction to cause the creature to make a Dexterity saving throw. The creature takes 2d8 lightning or thunder damage (your choice) on a failed saving throw, and half as much damage on a successful one.
You can use this feature a number of times equal to your Wisdom modifier (a minimum of once). You regain all expended uses when you finish a long rest.
In 5e, there is no such thing as "touch AC", so a hit is a hit is a hit.
A 'hit' is defined as (PH page 194):
Causing damage doesn't always mean a hit, and not all hits cause damage. Certain spells, class features, magic items, immunities and so on can (partially) negate the damage of a successful hit. But negating the damage doesn't make a hit a miss.