Deity elevated old woman showing blind faith (5)
I believe the answer is:
dogma
'blind faith' is the definition.
(I've seen this before)
'deity elevated old woman' is the wordplay.
'deity' becomes 'god' (synonyms).
'elevated' is a reversal indicator (down clues only).
'old woman' becomes 'ma' (both can mean someone's mother).
'god' back-to-front is 'dog'.
'dog'+'ma'='DOGMA'
'showing' acts as a link.
(Other definitions for dogma that I've seen before include "Opinion viewed as truth?" , "Fixed belief" , "Inflexible doctrine" , "Inflexible principle" , "Blind faith required" .)