待ち望む
まちのぞむ · machinozomu · JLPT N1 · verb-godan
to wait eagerly for
待 — chì 彳 (step) + 寺 sì (temple/phonetic)
待 combines the 'step' radical 彳, suggesting movement or a path, with 寺, which serves as the phonetic component. Originally it conveyed the idea of stopping along a road, which extended to 'waiting.' Over time it also took on related meanings like 'to treat' or 'to deal with' someone.
望 — 亡 (phonetic) + 月 moon + 王 king/standing figure
Originally a pictograph of a person standing on tiptoe gazing at the moon, expressing the idea of looking far into the distance. Over time the figure was reshaped and 亡 was added as a phonetic element. The meaning extended from 'gaze afar' to 'hope for' or 'expect.'