Whenever this creature is dealt damage, it deals that much damage to you.
: This creature gets +1/+0 until end of turn and deals 1 damage to you.
Firedrinker Satyr's first ability will trigger even if it's dealt lethal damage. For example, if it blocks a 7/7 creature, its ability will trigger and Firedrinker Satyr will deal 7 damage to you.
Damage dealt by Firedrinker Satyr due to its first ability isn't combat damage, even if combat damage caused the ability to trigger.