Most people do not notice any obvious effects, but there is a measurable increase on reta, that is larger than for the other GLP's.
I think the only time it is going to matter is if it increases heart rate a lot , like more than 15 or so, which is not common but possible, if you have heart disease, in which case reta might not be the best choice, and tirz might be a better option at least until there is more research on reta, and if you get anxious easily, and notice palpitations as part of that anxiety. Given the question, I do wonder if this is the case. Usually the heart rate increase trends down towards normal over months. If you do get anxiety or unpleasant palpitations you can always drop the dose or stop it, and switch to tirz instead, which also increases heart rate but less than reta.
If you have diagnosed panic disorder, I would pick tirz, it is not a known documented interaction, but I have seen 2 or 3 people on this forum with panic episodes from reta, so while rare and not documented in the scientific literature as far as I know, it is possible it could trigger them in those with the right susceptibility.