Crossly (7)
(Other definitions for irately that I've seen before include "With great anger" , "Cross style" , "Angrily" .)
'crossly' is the definition.
(I've seen this before)
This is all the clue.
(Other definitions for angrily that I've seen before include "With wrath or ire" , "In fury" , "With strong displeasure" , "in a temper" , "In irate fashion" .)