Pedzisa mutsara unotevera: Shaw akatanga basa rake rokushambadzira semutauri wenhau uye mutori wenhau weWNUS muChicago. Akazoshanda semutori wenhau weWestinghouse Broadcasting Company muChicago, achienda kuWashington semunyori weWhite House. Akashanda semunyori muWashington Bureau yeCBS News kubva muna 1971 kusvika muna 1977. Muna 1977, akatamira kuABC News semunyori weLatin America uye mukuru webhodhi asati ava Capitol Hill Senior Correspondent. Akasiya ABC muna 1980 kuti aende kuCNN semubatsiri-mutepfenyuri wePrimeNews nhepfenyuro yayo, achisimbisa kubva kuWashington, D.C.. Kushuma kwaShaw kwenyaya yacho
1981 kuedza kuuraya purezidhendi weU.S. Ronald Reagan (naShaw akabatanidzwa neyaimbova CBS News munyori Daniel Schorr, mumwe wevanhu vekutanga vari mumhepo vakashandiswa nechiteshi chekambani yekambani) vanonzi vakabatsira kugadzira CNN sechinhu chinotendeseka uye chakavimbika chekuparidzira nhau munguva yekutanga munhoroondo yenhepfenyuro.