Just relax
Breathing the same air doesn't expose you to the radiations, the radioactivity doesn't travel with breath.
My cat was treated with I-131 on a Tuesday and released on a Friday. She wasn't safe on Tuesday, she was safe on Friday, this means that the radioactivity decays rather quickly, so even now that your cat is home, every day she'll be safer than she was the day before.
As molly92 said, your cat has a smaller body mass than you, yet she is fine and she's exposed to the radioactivity from inside her body 24/7.
I think that facilities give people these guidelines as an extra precaution, just in case, but it is likely that the cats are totally safe to handle when they are released.
Take a deep breath and enjoy your cat
And be proud of what you did for her!
Breathing the same air doesn't expose you to the radiations, the radioactivity doesn't travel with breath.
My cat was treated with I-131 on a Tuesday and released on a Friday. She wasn't safe on Tuesday, she was safe on Friday, this means that the radioactivity decays rather quickly, so even now that your cat is home, every day she'll be safer than she was the day before.
As molly92 said, your cat has a smaller body mass than you, yet she is fine and she's exposed to the radioactivity from inside her body 24/7.
I think that facilities give people these guidelines as an extra precaution, just in case, but it is likely that the cats are totally safe to handle when they are released.
Take a deep breath and enjoy your cat
And be proud of what you did for her!