Religious figure asks questions atheists regularly disregarded (9)
I believe the answer is:
priestess
'religious figure' is the definition.
'asks questions atheists regularly disregarded' is the wordplay.
'asks questions' becomes 'pries'.
'regularly disregarded' means one should take alternating letters.
The alternate letters of 'atheists' are 'tess'.
'pries'+'tess'='PRIESTESS'
(Other definitions for priestess that I've seen before include "Holy woman" , "Female leading rituals" , "Female hierophant" , "Female religious officiant" , "One in temple possibly" .)