Timing is the most useful diagnostic feature here and it is the one most often omitted from the question.
Nausea incidence in the pivotal trials runs to roughly 40 to 45 per cent at the higher doses against 15 to 20 per cent on placebo, with vomiting at roughly 15 to 25 per cent against 5 to 8 per cent. Discontinuation specifically attributable to gastrointestinal adverse events was in the range of 4 to 7 per cent. Those are the numbers to hold in mind when someone describes their experience as unusual.
Constipation outlasts the nausea because it has two causes and only one of them resolves. Gastric emptying accommodates over weeks; total intake, and therefore stool volume and the osmotic load reaching the colon, does not recover until intake does. This is why fibre alone can make it worse — you add bulk to a system that is short of water and short of motility.
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].
The caveat that actually matters: this is pattern recognition from published data, not a clinical assessment of you. Anything severe, persistent or accompanied by systemic features belongs with a clinician the same day.
Fix the fixable causes first — fluid, electrolytes, sleep, intake — before concluding that the compound is responsible.