急に + [verb] 急に + [i-adj 〜い → 〜く] + なる
急に means "suddenly": something happens or changes without warning. It is the adverb form of the な-adjective きゅう急, and it goes before the verb, often with a verb of change like なる or one ending in だす出す ("start to").
急に is about when something happens: without warning. いそいで急いで is about how fast you act: in a hurry. They come from the same kanji, and English "quickly" pulls learners toward 急に.
These go beyond "suddenly" before a verb.
With は and a negative, 急に means "at such short notice".
Before a noun, the adjective form is きゅう急な: きゅう急なようじ用事, "something urgent that came up".