You will have to wait to see if it passes, generally within 72 hours. Kitties can get string syndrome in their bowels. If this fabric acts like a string, it could knot the bowels and cause strangulation problems. You should watch the stool, looking for the fabric or strings. If she stops eating or develops vomiting or diarrhea in the next few days you need to take her to a vet.
I hope this is helpful. Please push ACCEPT and thanks!