Christ's words tally with independent advice, primarily (5)
I believe the answer is:
logia
'christ's words' is the definition.
The definition suggests a singular noun which matches the answer.
'tally with independent advice primarily' is the wordplay.
'tally with' becomes 'log' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'primarily' suggests taking the first letters.
The initial letters of 'independent advice' is 'ia'.
'log'+'ia'='LOGIA'
Can you help me to learn more?
(Another definition for logia that I've seen is " Sayings attributed to Christ".)