Can catchin a cold (runny nose no fever) cause me to go into preterm labour? 35wks+5days pregnant today? scared of harmin baby or going into labour :(

Should be fine: Lots of women get viral colds during pregnancy. Some flu syndrome virus can cause issues especially if a high fever is present, but a cold really doesn't harm you or the baby. More of an inconvenience than anything. Also, at 35 week 5 days even if you developed labor for another reason the chance of harm at this gestation is extremely low.