IPA: /dɪ'spɒndəntli/
KK: /dɪ'spɑndəntli/
In a way that shows a feeling of hopelessness or sadness.
She looked at the ground despondently after hearing the bad news.
Despondently → It is formed from "despondent" (from Latin "despondere", meaning to give up or lose hope) and the suffix "-ly" (meaning in a manner of). The word "despondently" means in a manner that shows a loss of hope or confidence.
Think of someone who has 'given up' ('despondere') and is acting in a way that shows their hopelessness — that's what despondently means.