Can cats get floxxed?

Stupid question but I was given Cipro a couple of months ago and had some symptoms but for now I'm okay. My cat has a UTI now and the vet prescribed enrofloxacin now I'm wondering if 1) cats can get floxxed and 2) is it dangerous for me to give it to her? I know topical fluorchinolones are also dangerous. Should I wear gloves?