This is the 5669th most frequent Japanese word.
すて
"すて" means "discard" or "throw away."
In this sentence, 'すてました' (stem: すて) is used as a verb meaning 'to discard' or 'to throw away'.
古い服をすてました。
I discarded old clothes.
Here, 'すてませんでした' (stem: すて) is used metaphorically to mean 'to give up' or 'to abandon'.
彼は希望をすてませんでした。
He did not give up hope.
In this instance, 'すてて' (stem: すて) illustrates the action of abandoning an idea, following a transitional suggestion.