The distinction worth making early is between a tolerability problem, which is unpleasant and self-limiting, and a clinical problem, which is neither. They present differently and the thresholds for each are worth writing down before you need them.
Early satiety is not a side effect; it is the mechanism being observable. The useful distinction is between satiety, where you stop eating without distress, and aversion, where the thought of food is unpleasant. The first is the intended effect. The second frequently precedes the dose being too high or escalated too fast.
It helps to be literal here: injection-site reactions are more often diluent-related than peptide-related. Benzyl alcohol sensitivity is uncommon but real, and it presents as a consistent local reaction at every site with a preserved diluent and no reaction with an unpreserved one — which is a straightforward thing to establish. Injection depth is the other common cause: intradermal placement stings and welts, subcutaneous placement usually does not.
Pooled analyses of gallbladder-related events with GLP-1 receptor agonists find a modest increase in relative risk, with the effect larger at higher doses and longer durations — consistent with a rate-of-loss mechanism as much as a direct one[1].
I would flag that attributing a symptom to a drug is a hypothesis, and the base rate of these symptoms in the general population is high enough that the hypothesis is often wrong.
Fix the fixable causes first — fluid, electrolytes, sleep, intake — before concluding that the compound is responsible.