Fortunately, ant and roach products do not tend to be as toxic to pets as rat/mouse baits.
However, there is no question you will need to monitor her for any symptoms of digestive upset (refusing to eat, vomiting, diarrhea).
If there were to be any symptoms, absolutely, she should get into the vet for supportive care.
I am assuming the applicator itself was not swallowed. if so, then that is actually a much greater concern is it can cause an obstruction.
Generally, if ingested within one hour and when there is certainty a lot was ingested (not just a few licks), vomiting can be induced.
How to induce vomiting
I do not get the impression she got a lot of it.
Keep an eye out for those symptoms.
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