This diminutive of Bridget usually refers to a fussy old woman
... 
Syllabification: (biddy) | [informal] | a woman, usually an elderly one ... [insulting] 
A woman, especially an old woman; especially one regarded as fussy or mean or 
a... [DOC] [TLE] Citations:biddy - Wiktionary [PAR] Young Irish women often had their passage paid by upper-class American 
families, ... elderly woman, especially one regarded as fussy or mean or a 
gossipy busybody.