RSV 😭

Last night baby’s temp was 99.9 so I decided just to watch it. Throughout the night he got more congested/stuffy with sneezing and VERY clingy. This morning I checked again and it went up to 100.0. We went to the doctor and they checked it at 98.8 🤔 both were taken rectally when he was calm/not swaddled. So my question is...do I trust the doctor’s temperature reading or mine? For reference, mine thermometer is the Kinsa rectal thermometer and they were using a Vick’s thermometer. Basically they won’t do anything unless it hits 100.4 and then we were instructed to go straight to the ER. Baby is 5 weeks.