Since kids will be kids and, as you’ve now learned, some adults don’t understand the seriousness of the problem, you might want to consider a different approach.
More than likely, your physician has discussed with you what to do in the event that your daughter has an allergic reaction, like epinephrine injections, etc.
Make sure she carries (wears?) the antidote with her at all times with a note explaining in simple terms when and how it is administered (intended to be read by a by-stander in case of emergency). If she’s old enough, she should be trained in its use.