The -1/-1 counters that are put on the enchanted creature are independent of Torture. If Torture leaves the battlefield or is moved to another creature, the counters will stay put.

Torture : règles, fonctionnement et interactions (MTG)

Torture is one of those cards players keep asking about. Here is, in plain words, what its official text says, the rulings published by Wizards of the Coast, and the combos players actually run.

Official card text

Enchant creature : Put a -1/-1 counter on enchanted creature.

How it works : Torture

Original English text — Wizards of the Coast / Scryfall

#1May 1, 2008· Wizards of the Coast
The -1/-1 counters that are put on the enchanted creature are independent of Torture. If Torture leaves the battlefield or is moved to another creature, the counters will stay put.
No other card is named in this ruling.

Interactions with other cards

These cards' text mentions Torture.

Tyrant's Choice

Will of the council — Starting with you, each player votes for death or torture. If death gets more votes, each opponent sacrifices a creature of their choice. If torture gets more votes or the vote is tied, each opponent loses 4 life.