I thought most doggie daycares required every dog to have the kennel cough vaccine? Granted, the vaccine isn't a 100% guarantee of protection, but if she absolutely has to go to a daycare sometimes, you may want to talk to your vet about the vaccine. Is there a different daycare she can go to? If they don't require the vaccine, they should be super vidgulent about making sure none of the dogs going there have any symptoms. And, don't worry, she'll be fine after antibiotics
