Directly related to irritability:
* Irritably: This is the most direct adverb, meaning "in an irritable manner." Example: "He spoke irritably about the delay."
* Impatiently: This implies a feeling of annoyance at being delayed or hindered. Example: "She waited impatiently for the bus."
Related to the effect of irritability:
* Angrily: This expresses strong anger, often stemming from irritability. Example: "He yelled angrily at the customer."
* Frustratedly: This conveys a sense of being blocked or hindered, often due to irritability. Example: "He threw the book down frustratedly."
* Snappishly: This implies a short, sharp, and irritable response. Example: "She answered snappishly when asked about her day."
The best choice depends on the specific situation and the nuance you want to convey.