From Longman Dictionary of Contemporary Englishmake somebody’s blood run coldmake somebody’s blood run coldFRIGHTENEDto make someone feel extremely frightened → blood
Examples from the Corpus
make somebody’s blood run cold• But whenever she passed the wood the tales rushed back into her mind and made her blood run cold.• Ex-inmate Tony Cohla told yesterday how the thought of ever returning to Ashworth makes his blood run cold.• He said their evidence had made his blood run cold. 