She set out for Kyoto yesterday.

Literal

She [topic-は] yesterday Kyoto [toward-に] facing-toward departed.

~に向けて ('toward, headed for') lends a slightly more purposeful feel than bare に — useful when an action is aimed at a destination or goal. Compare 京都に行く ('go to Kyoto'), a flat directional, with 京都に向けて出発する ('depart with Kyoto as the destination'), which foregrounds the act of setting out. 出発する is the formal Sino-Japanese verb for departure, the kind of word announcements and itineraries use. Kyoto, of course, was Japan's imperial capital for over a thousand years (794–1868) and remains the cultural heart of traditional Japan — temple gardens, tea culture, geisha districts, and seasonal travel destinations all converge there.