Whenever Firedrinker Satyr is dealt damage, it deals that much damage to you.
{1}{R}: Firedrinker Satyr gets +1/+0 until end of turn and deals 1 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.
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.