Irritated, irked (7)
(Other definitions for rankled that I've seen before include "resented" , "caused persistent annoyance" , "Caused ongoing annoyance" , "caused constant annoyance" , "Annoyed" .)
I believe this is a double definition.
'irritated' is the first definition.
(I know that irritated can be written as annoyed)
'irked' is the second definition.
(thesaurus)
(Other definitions for annoyed that I've seen before include "put out" , "Cross" , "Displeased" , "'Irritated, impatient (7)'" , "Vexed, irritated" .)