に降られて

be caught in (the rain) and

→ に
phrase Uncommon #19,429
be caught in (the rain) and Used in the passive to describe being caught in rain, often with an implication that it was inconvenient or unwanted. The thing before に is what falls, such as 雨 (rain).
JA: 雨に降られて、駅まで走った。
EN: I got caught in the rain and ran to the station.