My cat swallowed a small thin wire. Will she pass it okay?

I was unwrapping my corsage so I could put the flower in water. Inside the wrap was little wires with lace attached for decoration. While I wasn't looking, my cat got one in her mouth. I held her down and tried to get it out but she scratched me up and swallowed it. Will she be okay? Are there signs I should look for if it starts to harm her?