Is it possible for rabbits to have cold/flu? My rabbit has been sleeping indoors since November, he has the run of the house and also the back garden, he slept in his hutch at night until november when I felt guilty about putting him out in the cold so he's been sleeping inside since. As the weather has improved recently he's been back out in his hutch at night. Yesterday he got soaked in the rain, although this has happened a few times, he's never been bothered by it, in fact he loved the snow we had over the winter. Today he has been very quiet, quite shivery and not eating much, I thought maybe he was just a bit moody because I put him back in his hutch at night.