Minion of Leshrac

Protection from black
At the beginning of your upkeep, Minion of Leshrac deals 5 damage to you unless you sacrifice a creature other than Minion of Leshrac. If Minion of Leshrac deals damage to you this way, tap it.
{T}: Destroy target creature or land.

Masters Edition II

Ice Age

Protection from black
During your upkeep, sacrifice a creature or Minion of Leshrac deals 5 damage to you. If Minion of Leshrac deals damage to you in this way, tap it. You cannot sacrifice Minion of Leshrac to itself.
oc
T: Destroy target creature or land.

If you don’t sacrifice a creature at the beginning of your upkeep (either by choice or because you can’t), but you somehow prevent all the damage Minion of Leshrac would deal to you, then you don’t tap Minion of Leshrac.

Minion of Leshrac can’t target itself with its activated ability because it has protection from black.