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Hi. My name is***** you for your question about this little one. What is her name? That is good that she's eating well and drinking! When they are eating and drinking, it hopefully means that the situation isn't as serious. Does she have any sneezing or eye / nasal discharge? Is she putting on weight? Is she being social and playing with the rest of the litter?
How old are these kittens again? The normal rectal temperature for kittens / cats is 100 to 102.5. So all the kittens seem to be about the same?
If this one isn't completely acting normal, I would be hesitant to get it into a new home at this time. The reason is that going to a new home is stressful and it can cause them to not eat and drink well. At this time, being in a familiar environment and getting good nutrition and rest would seem to be the best to let him fight off what he may be having. Could it be a non-specific viral issue? The fact that they are eating and drinking has me hopeful that the situation isn't a more critical one.