Girl disregarding Irish hunger problem (6)
I believe the answer is:
glitch
'problem' is the definition.
(a glitch is a problem or malfunction)
'girl disregarding irish hunger' is the wordplay.
'disregarding' is a deletion indicator.
'irish' becomes 'IR' (abbreviation for Irish).
'hunger' becomes 'itch' (I've seen this in other clues).
'girl' with 'ir' taken out is 'gl'.
'gl'+'itch'='GLITCH'
(Other definitions for glitch that I've seen before include "Temporary fault" , "Minor mishap" , "Unexpected setback" , "An informal malfunction" , "Sudden malfunction in equipment" .)