It's hard to understand this sentence without having the knowledge of Japanese map. The most typical tyhoon course is to land on west region and go through north-east of Japan. Therefor, landing on 紀伊半島 and going to 西日本 is a pretty rare case, and that's what makes a story newsworthy.
紀伊半島から西日本直撃＝東から西に逆走：It will run through east to west, (reverse direction running tyhoon). 関東含め影響拡大か：including Kanto region, the tyhoon would be increasing its inpact.
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