If a husband says to his wife: "If my commitment does not please you, then from this minute, no, from this second, you may leave," while gesturing with his hand indicating departure, is this considered a divorce, and has this divorce occurred?

Words that can imply divorce and other meanings do not effect a divorce unless the speaker intended it. Since the questioner uttered a word that could imply divorce without prior intention, no divorce has occurred. Doubt concerning the intention when uttering ambiguous divorce phrases does not remove the certainty of the marital bond. The husband should be gentle with his wife in advising and guiding her towards adherence, and he should remember Allah Almighty’s saying: (Such were you formerly, but Allah conferred His favor on you, so verify).