Friend, the dryer sheets generally have detergents and can be corrosive to the gastrointestinal tract. The fact that this is a new sheet I would not induce vomiting because the detergent can damage the esophagus making matters worse. Had it been a used sheet I probably would induce vomiting. In this case, this is what you can do:
1- Do not give things like Pepto Bismol.
2- Do not induce vomiting.
3- Change her diet for the next 2-3 days to rice (75%) and boiled boneless chicken or ground beef (25%). The idea is for the rice to bind the sheet and help pass it in the feces while protecting the intestinal tract. Make sure you check her feces for the next 48 hours for the sheet. If you do not see the sheet in the feces I would have her checked by your family vet for x-rays.
4- If at any point during the next few days you see the following symptoms: lethargy, anorexia, vomiting, constipated or diarrhea, etc. follow up immediately with a veterinarian. These are all signs of possible obstruction of the intestinal tract. In the meantime, observe and change diet as above then wean back into the regular diet.
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