に遭って

be involved in; suffer

→ に
phrase Rare #38,001
be involved in; suffer Used with accidents, disasters, and other misfortunes. This is the て-form of 遭う and connects to what follows, often describing the result of the misfortune.
JA: 彼女は交通事故に遭って、入院した。
EN: She was involved in a traffic accident and was hospitalized.

隣人残念ながら交通事故に遭って昏睡状態になってしまった

Unfortunately, my neighbor was in a traffic accident and fell into a coma.

彼は事故に遭って骨を折った

He was in an accident and broke a bone.

そして更に困ったことは彼自身交通事故に遭ってしまった

To make matters worse, he himself was involved in a traffic accident.

彼らは災難に遭って冷静であった

They remained calm even when disaster struck.