LU,
I am quite sure that ypu misunderstood that rav. Hashem “allows” peopole to sin in the sense that He gave us free choice. However, how we use this is totally up to us (see Berachot 33b and Rambam Hilchot Teshuva 5:1). We even control if we get sick do to not guarding ourselves from weather conditions (Ketubot 20a).
As for your ice cream story, I heard that the Chatam Sofer said that a person who is shogeg on a d’rabbanan does not need to do teshuva as the aveira is not listening to Chazal (see also Meshech Chochma on Devarim 17:11 and Baal haNetivot quoted in
“What is the nature of דינים דרבנן ?” – online).
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