Glorious Enforcer — ruling 1

Glorious Enforcer's triggered ability checks whether you have more life than an opponent at the beginning of each combat to see if it triggers. If you don't, the ability won't trigger at all. The ability will check again as it tries to resolve. If you don't at that time, the ability won't do anything. You must have more life than an opponent at both times for Glorious Enforcer to get double strike. It does not, however, need to be the same opponent both times.

Glorious Enforcer — ruling 2

After the triggered ability resolves, Glorious Enforcer will continue to have double strike until the end of the turn no matter what players' life totals are.

Glorious Enforcer : règles, fonctionnement et interactions (MTG)

Glorious Enforcer 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

Flying, lifelink At the beginning of each combat, if you have more life than an opponent, this creature gains double strike until end of turn.

How it works : Glorious Enforcer

Original English text — Wizards of the Coast / Scryfall

#1June 18, 2021· Wizards of the Coast
Glorious Enforcer's triggered ability checks whether you have more life than an opponent at the beginning of each combat to see if it triggers. If you don't, the ability won't trigger at all. The ability will check again as it tries to resolve. If you don't at that time, the ability won't do anything. You must have more life than an opponent at both times for Glorious Enforcer to get double strike. It does not, however, need to be the same opponent both times.
No other card is named in this ruling.
#2June 18, 2021· Wizards of the Coast
After the triggered ability resolves, Glorious Enforcer will continue to have double strike until the end of the turn no matter what players' life totals are.
No other card is named in this ruling.